Exponents

Exponent Rules

100

When you multiply two exponents together what do you do?

Add exponents

200

When you divide exponents what do you do?

Subtract exponents

300

When you take an exponent to a power, what do you do to it?

Multiply exponents

400

When you have a negative exponent what do you do?

Turn it into a fraction

500

What does anything to the zero power equal?

1

Multiplying/Dividing Exponents

100

Simplify

4² x 4²

4⁴

200

Simplify 

(5^4)/5

5³

300

Simplify

N⁹ x N^-3

N⁶

400

Simplify

(7x^2)/(4x^3)

(7)/(4x)

500

Simplify

(8m^3)/(10m^3)

(4/5)

Power to power

100

Simplify

(p⁴)⁴

p¹⁶

200

Simplify

(7k)²

49k²

300

Simplify

(2b²)⁴

16b⁸

400

Solve (there should be NO exponents in your answer)

(1^4)^2 times (1^3)^4

1

500

Solve (there should be NO exponents in your answer)

(6^9)/((6^3)^2)

216

Negative Exponents/Mixed Practice

100

Rewrite using a positive exponent

4^-2

(1/4^2)

200

Rewrite using a positive exponent

n^-3

1/n^3

300

Evaluate (you should have NO exponents)

8^-1

1/8

400

Evaluate (you should have only positive exponents)

(b^-7)^2 times b^6

1/b^8

500

Simplify

4r^-3 times 2r^2

8/r

Review

100

Solve

(-4)²

16

200

Given a triangle with the side lengths of 13 ft and 84 ft, what is the length of the hypotenuse?

85 ft

300

You are staying in a cabin for the long weekend. You are trying to figure out the total cost of your stay but are only given the following equation. What what must be the cost per night?

y=50+75x

75 dollars

400

Find the slope when given the following points: 

(4,-2)  (-4,-4)

1/4

500

What is the solution to the system of equations below? Write your answer as an ordered pair.

y=1/3x+3

y=5

(-4,5)