simplify 5^-4/5^4 help me please

Answers

Answer 1

Answer:

[tex]5^{-8}[/tex]

Step-by-step explanation:

Exponent law:

[tex]\sf \boxed{\dfrac{a^{m}}{a^n}=a^{m-n}}[/tex]

  [tex]\sf \dfrac{5^{-4}}{5^{4}}=5^{-4-4}[/tex]

         [tex]= 5^{-8}[/tex]


Related Questions

which expression represents 5 times the sum of 24 and 7?
a. 5 x 24 + 7
b. 5 x 24 x 7
c. 5 + 24 + 7
d. 5 x (24 x 7)
e. 5 x (24 +7)

Answers

Answer:

e

Step-by-step explanation:

the sum of 24 and 7 is 24 + 7 and multiplying this by 5 gives

5 × (24 + 7)

Answer:

e.

Step-by-step explanation:

24 + 7 = 31

5 * 31 = 155.

Is the sequence geometric? If so, identify the common ratio.

5, -25, 125, -625, ...

Answers

This sequence is geometric, with a common ratio of -5. This ratio can be found be dividing any of the terms by the previous term (ex. 125 / -25 = -5).

Hope this helps

Given f (x) = StartLayout Enlarged left-brace first row 3 cosine (x), for x not-equals pi second row pi, for x = pi EndLayout. What is Limit of f (x) as x approaches pi?\
–3
0
Pi
DNE

Answers

Answer:

The Answer is: -3.

Step-by-step explanation:

I just took the quiz and I got it right!!

Which graph represents the function?
f(x)=x(x+2)

Answers

Answer:

The bottom graph on the right, check the image below:

Explanation:

Substitute the x value with 1,

f(1)=1(1+2)=3

f(2)=2(2+2)=8

f(-1)=-1(-1+2)=-1

f(-2)=-2(-2+2)=0

Please help quickly! Will give points to 1st right answer!

the table below represents a logarithmic function f(x)

Answers

The domain of the logarithm function is (0, ∞) and the range of the logarithm function will be (-∞, ∞)

What are domain and range?

The domain means all the possible values of the x and the range means all the possible values of the y.

The table is shown below.

Let the logarithm function with the variables x and y. Then we have

y = logₐ x

At x = 25, the value of y will be 2. Then the value of a will be

2 = logₐ 25

2 = 2 logₐ 5

1 = logₐ 5

Then 1 can be written as

1 = log₅ 5

Then on comparing, the value of a will be

a = 5

Then the logarithm function will be

y = log₅ x

Then the domain of the logarithm function is (0, ∞) and the range of the logarithm function will be (-∞, ∞)

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Please Help ASAP.

Given that figure ABCD is a dilation of figure KLMN, find the missing values:

Answers

The missing values in the diagram given that figure ABCD is a dilation of figure KLMN, are:

AB = 4

LM = 20

∠B = 98.87°

∠N = 141.87°

What is Dilation?

Dilation is a form of transformation whereby a new figure is formed by enlarging or reducing an original figure by a scale factor. After dilation, the corresponding sides of both figures are proportional, while the corresponding angles of both figures are congruent to each other.

Find AB:

AB/KL = DC/NM

Plug in the values

AB/10 = 4/10

AB(10) = 4(10)

AB = 40/10

AB = 4

Find LM:

BC/LM = DC/NM

Plug in the values

8/LM = 4/10

8(10) = 4(LM)

LM = 80/4

LM = 20

∠B = ∠L = 98.87°

∠N = ∠D = 141.87°

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a square pyramid measuring 7 in along each edge of the base with a height of 12 in​

Answers

Answer:

196 in^3

Step-by-step explanation:

Volume of pyramid = 1/3 base * height

                = 1/3  (7x7) (12) = 196  in^3

Pleease help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

ANSWER: The answer is 9

SOLUTION: sqrt(8^2+4^2)=8,9 and rounds up to 9

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

Part (a)

From inspection of the diagram, the pattern is:

Step 1:      1² + 1

Step 2:    2² + 2

Step 3:    3² + 3

Let x = step number

Let y = total number of squares

Therefore, the equation that represents the relationship is:  

y = x² + x

Part (b)

x² relates to the large square made up of small squares (top part of the image of each step)

x relates to the rectangle of small squares (bottom part of the image of each step)

y is the total number of small squares in the image of each step.

The pattern is

1+14+29+3

More simply

1²+12²+23²+3

So for an integer n

y=n²+n

#b

n² is pair of boxes at top side

n is boxes underneath

What are the coordinates of point P on the directed line
segment from R to Q such that P is the length of the
line segment from R to Q? Round to the nearest tenth, if
necessary.

Answers

Answer:

(-3.5, 2.3)

Step-by-step explanation:

Let the point P have coordinates : (x, y)

The line (from R to Q) is divided in the ratio :

Coordinates of :

Q = (-5, 3)R = (4, -1)

Using section formula :

x = mx₂ + nx₁ / m + nx = 5(-5) + 1(4) / 5 + 1x = -21/6 = -7/2x = -3.5

y = my₂ + ny₁ / m + ny = 5(3) + 1(-1) / 5 + 1y = 14/6 = 7/3y = 2.3

The coordinates of the point P are : (-3.5, 2.3)

Answer:

-3.5, 2.3

Step-by-step explanation:

Shane and Abha earned a team badge that required their team to collect no less than 200020002000 cans for recycling. Abha collected 178178178 more cans than Shane did.

What is the solution set of the inequality?

Answers

The solution set of the inequality is represented as [911,∞)

How to find the solution set of the inequality?

let

x be the number of cans collected by Shane.

Therefore,

Since,  Abha collected 178 more cans than Shane did.

Therefore,

Abha  = 178 + x

Hence,

Also, Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling.

Therefore,

x + 178 + x ≥ 2000

2x + 178 ≥ 2000

2x ≥ 2000 - 178

2x ≥ 1822

x ≥ 1822 / 2

x ≥ 911

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Question 2 of 10
What is the surface area of the rectangular pyramid below?

Answers

Answer:

363

Step-by-step explanation:

11x11=121

((11x11)÷2)x4=11x11x2=121x2=242

121+242=363

Jada's property has a shape of a parallelogram with the
dimensions shown. If the perimeter of the property is 300
feet, what is the value of x?
x + 75
X +45


Answers

(X+75)+(X+45)

2x+120=300
-120 -120
2x=180
/2 /2
X=90

Solve by taking a square root: (x + 7)2 - 10

Answers

Answer:

2x+4

Step-by-step explanation:

Trust me

Put the following equation of a line into slope-intercept form, simplifying all fractions.
12y−15x=84

Answers

First, you need to add 15x to both sides in order to get y by itself. Then, you need to divide all the numbers by 12. Your answer should be Y=1.25x+7. I hope this helps!

The equation in slope-intercept form is y = (5/4)x + 7.

We have,

The slope-intercept form of a linear equation is given by y = mx + b, where "m" is the slope and "b" is the y-intercept.

To write the equation 12y - 15x = 84 in slope-intercept form, simplify the fractions and solve for y:

12y = 15x + 84

y = (15x + 84) / 12

y = (5x + 28) / 4

y = (5/4)x + 28/4

y = (5/4)x + 7

Thus,

The equation in slope-intercept form is y = (5/4)x + 7.

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How much of your lawn can you mow with
one gallon of gas, if you maintain the rate
of ⅕ gallon of gas per ⅛ of a lawn?

Answers

Answer:

5/8

Step-by-step explanation:

1/5 x 5

1

1/8 x 5

5/8

HELP, I WILL GIVE YOU MANY POINTS (60)!
While using a skipping rope, Emily jumps 52 times in 60 seconds. Jumping at this
same rate, how many times does Emily jump in 75 seconds?

Answers

Answer:

65 times in 75 seconds

Step-by-step explanation:

52 × 75 = 3,900

3,900 ÷ 60 = 65

Which is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 24x – 35? 2x – 7 2x 7 3x – 7 3x 7

Answers

A factor of the polynomial f(x) = 6x⁴ - 21x³ - 4x² + 24x - 35 is 2x - 7

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the polynomial:

f(x) = 6x⁴ - 21x³ - 4x² + 24x - 35

The polynomial can be further simplified to:

f(x) = (2x - 7)(3x³ - 2x + 5)

A factor of the polynomial f(x) = 6x⁴ - 21x³ - 4x² + 24x - 35 is 2x - 7

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Answer:

2x-7

Step-by-step explanation:

TLDR verified answer, correct on edge 2023

8 tenths + 34 hundredths =
A 42 tenths
B 42 hundredths
c 114 tenths
D 114 hundredths

Answers

Answer:

D

Step-by-step explanation:

114 hundredths

Answer:

42 hundredths

Step-by-step explanation

Normally do 34+8 then add the hundredths since 34 hundredths is the bigger value

Solve the following system of equations. Show all work and solutions.

y = 3x^2 + 6x + 4
y = −3x^2 + 4

Answers

Answer:

y = 4, x = 0

y = 1, x = -1

Step-by-step explanation:

[tex]y = 3 {x}^{2} + 6x + 4[/tex]

[tex]y = - 3 {x}^{2} + 4[/tex]

[tex] \: [/tex]

Since both of them are equal to y, we can just equate them and solve.

[tex] \: [/tex]

[tex]3 {x}^{2} + 6x + 4 = - 3 {x}^{2} + 4[/tex]

[tex]3 {x}^{2} + 6x + 4 + 3 {x}^{2} - 4 = 0[/tex]

[tex]6 {x}^{2} + 6x = 0[/tex]

[tex]6x(x + 1) = 0[/tex]

[tex]6x = 0[/tex]

[tex]x = 0[/tex]

[tex] \: [/tex]

[tex]x + 1 = 0[/tex]

[tex]x = - 1[/tex]

[tex] \: [/tex]

[tex]for \: x = 0[/tex]

[tex]y = 3( {0})^{2} + 6(0) + 4[/tex]

[tex]y = 4[/tex]

[tex] \: [/tex]

[tex]for \: x = - 1[/tex]

[tex]y = 3( { - 1})^{2} + 6( - 1) + 4[/tex]

[tex]y = 1[/tex]

[tex] \: [/tex]

[tex]values \: of \: x \: and \: y \: for \: the \: system \: of \: equations \: are[/tex]

y = 4, x = 0

y = 1, x = -1

The system of equations has been solved and the solution set of the equation are (-1,1) and (0,4).

What is a system of equation?

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

The first equation given as,

y = 3x² + 6x + 4

The second equation given as,

y = -3x² + 4

Equate the value of y from both equation as,

3x² + 6x + 4=-3x²+4

3x²+3x²+6x+4-4=0

6x²+6x=0

6x(x+1)=0

x=0:x=-1

Put these values of x, in first equation,

y = 3(-1)^2 + 6(-1) + 4

y = 3 - 6 + 4

y=1

Put 0 on the place of x,

y = 3(0)^2 + 6(0) + 4

y = 0 +0+ 4

y=4

Thus, the system of equations has been solved and the solution set of the equation are (-1,1) and (0,4).

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Match the variable to its correct length please

Answers

Answer:

[tex]x=10[/tex]

[tex]y=20[/tex]

Step-by-step explanation:

Note:

(sin, cos, tan) Formulas:

[tex]sin(\theta)=\dfrac{opposite}{hypotenuse}[/tex]

[tex]cos(\theta)=\dfrac{adjacent}{hypotenuse}[/tex]

[tex]tan(\theta)=\dfrac{opposite}{adjacent}[/tex]

To find the value of [tex]x[/tex]

1) Using [tex]tan[/tex] formula

[tex]tan(\theta)=\dfrac{opposite}{adjacent}[/tex]

[tex]tan(60°)=\dfrac{10\sqrt{3}}{x}[/tex]

2) Multiply both sides by [tex]x[/tex]

[tex]xtan(60°)=\dfrac{10\sqrt{3}}{x}\times x[/tex]

[tex]xtan(60°)=10\sqrt{3}[/tex]

3) Divide both side by [tex]tan(60°)[/tex]

[tex]\dfrac{xtan(60°)}{tan(60°)}=\dfrac{10\sqrt{3}}{tan(60°)}[/tex]

4) Calculate

[tex]x=\dfrac{10\sqrt{3}}{tan(60°)}[/tex]

[tex]x=10[/tex]

To find the value of [tex]y[/tex]

1) Using [tex]cos[/tex] formula

[tex]cos(\theta)=\dfrac{adjacent}{hypotenuse}[/tex]

[tex]cos(60°)=\dfrac{10}{y}[/tex]

2) Multiply both sides by [tex]y[/tex]

[tex]ycos(60°)=\dfrac{10}{y}\times y[/tex]

[tex]ycos(60°)=10[/tex]

3) Divide both side by [tex]cos(60°)[/tex]

[tex]\dfrac{ycos(60°)}{cos(60°)}=\dfrac{10}{cos(60°)}[/tex]

4) Calculate

[tex]y=\dfrac{10}{cos(60°)}[/tex]

[tex]y=20[/tex]

Help me find the area here! 6th grade math

Answers

63 cm2

hope it helps

you

63 CM answer

What is the circumference of a circle that has a diameter of 12 feet?

Answers

I hope you had a great day today I have to answer questions to be able to ask more questions

Please help this assignment is due in 20 mins!

Jayvalyn is buying milk. She needs 4 liters. A​ half-liter of milk costs ​$2.86. A ​200-milliliter container of milk costs ​$1.19. What should Jayvalyn buy so she gets 4 liters at the lowest​ price?

Answers

Answer:

the half liter

Step-by-step explanation:

200 mL :

4,000 mL in 4 liters.

4,000/200=20

20x1.19=23.8

half liter :

4x2=8

8x2.86=22.88

The half liter go go go

Which angle in this quadrilateral is an obtuse angle?

Angle J

Angle K

Angle L


Angle M

Answers

Answer:

Where is the quadrilateral? You haven't inserted a picture.

Which equation matches this graph?

Answers

Answer:

y = 4"x +2

Step-by-step explanation:

We choose negative 4 because the graph lies below the asymptote and we chose positive 2 because the horizontal asymptote is on the positive section of the y axis

what’s the reason? help

Answers

Answer:

adjacent exterior angles

x equals 80

Calculate the value of A please ?

Answers

A=7d+13
A=7(4)+13
A= 28+13
A=41

Please help me! Only give me the right answer or at least be 100% sure

Answers

Answer: The answer you selected in the picture is correct.

Step-by-step explanation:

There will be no heat transfer from the nickel to the water in the glass since heat transfer is purely a function of temperature difference.

there will be no transfer of heat from the nickel to the water in the glass

The price of a visit to the dentist is $25. If the dentist fills any cavities, an additional charge of $75 per cavity gets added to the bill. If the dentist finds x cavities, what will the cost of the visit be? Write your answer as an expression.​

Answers

c = cost of visit

c = 75x + 25
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