Algebra I : Chapter 7

Vocab

100

When multiplying powers with the same base, ______ the exponents.

Add

200

When dividing powers with the same base, _____ the exponents.

Subtract

300

Any nonzero number raised to the power of zero equals ____.

1

400

When raising a quotient or product to a power, everything inside the parenthesis is affected by the _____.

exponent

Power of Zero

100

(-13.5)⁰

1

200

-5⁰

-1

300

-(4)^-2

- 1/16

400

5g³d^-5

5g³/d⁵

Multiplying and Dividing

100

a^-2 / 5b⁴

1 / 5a²b⁴

200

6^-7 x 6⁶

1 / 6

300

-4x^-3 x 5x^-5

-20 / x⁸

400

-2x^-7 x 2y^-3 x 3y⁶ x x^-2

-12y³ / x⁹

Simplifying Exponents

100

(p⁷)²

p¹⁴

200

(-3g⁴h⁶)³ (g²h³)⁴

-27g²⁰h³⁰

300

y^-6 / y^-3

1 / y³

400

c⁵d^-8 / c^-2d^-3

c⁷ / d⁵

Radical and Exponential Form

100

Write in radical form. Simplify if necessary. 81^1/4

3

200

Write in radical form. Simplify if necessary. 64x^1/3 

64  ³<x

300

Write in exponential form. Simplify if necessary. ³<125x⁶

5x²

400

Write in exponential form. Simplify if necessary. <(2x)⁶

(2x)^{3 =} 8x³