Unit 6 Review

Exponent Rules (Variable Base)

100

(x⁴y⁶)(x²y⁴)

x⁶y¹⁰

200

What do you do to the exponents (of the same base) when you are multiplying them?

Add them

300

a⁶b⁷/a³b⁵

a³b²

400

(4a²b³c⁴)²

16a⁴b⁶c⁸

500

(3m^-3n⁵)(5m⁷n^-2)

15m⁴n³

Exponent Rules (Variable Base)

100

(x^-7)(x⁴)

1/x³

200

What do you do to the exponents (of the same base) when you have a power of a power? (Sometimes called an "outside" exponent by me)

Multiply them

300

(x³y²)⁹

x²⁷y¹⁸

400

(x^-4y²)³

y⁶/x¹²

500

10c⁵d⁴/5c⁷d⁸

2/c²d⁴

Exponent Rules (Integer Base)

100

Evaluate: 5⁵/5³

25

200

What do you do to the exponents (of the same base) when you are dividing them?

Subtract them

300

Evaluate: (2⁴)^-1

1/16

400

Evaluate: 3⁹/3⁹

1

500

Order from Least to Greatest:

a. (2³)^-2  b. (6²)(6) c. 4⁶/4²

{1/64, 216, 256}

Evaluating Rational Exponents and Radicals

100

Evaluate: 125^1/3

5

200

Evaluate: The 4th root of 64²

8

300

Evaluate: 343^2/3

49

400

Evaluate: The 6th root of 121³

11

500

Evaluate: The 4th root of 256³

64

Random

100

What does an exponent do to the base.

Repeated multiplication of the base

200

What does a radical do?

The inverse/opposite of an exponent

300

Evaluate: 58958258⁰

1

400

What is the base and exponent of the following?

25⁴

25 is the base

4 is the exponent

500

Simplify: 5²x^-4y⁵/z^-10

25y⁵z¹⁰/x⁴