Exponents Zero and Negative Powers

Presentation

•

Mathematics

•

8th - 12th Grade

•

Hard

James Gonzalez

FREE Resource

6 Slides • 10 Questions

4-4 Zero and Negative Exponents

Zero Exponent

As our exponent increases, we MULTIPLY by the base one fore time
So, every time your exponent decreases, we DIVIDE by the base.
When the exponent decreases from 1 to zero, we divide the base by itself and end up with 1

Zero Exponent Rule

Any non zero base with a zero exponent is equal to 1

Multiple Choice

Any number written to the 0 power is always 1

Example: 8⁰=1

True

False

Multiple Choice

x⁰

Multiple Choice

Simplify (-4x)⁰

-4

-4x

-1

Multiple Choice

Simplify -4x⁰

-4

-4x

-1

Multiple Choice

(2a³b ∙ ba³)⁰

2ab

6ba

Multiple Choice

Which is greater, 2654⁰ or 5⁰?

2654⁰

5⁰

They are the same

This cannot be determined.

Negative Exponents

Negative Exponent Rule

Negative exponents can be written as the reciprocal fraction with a postive exponent

Negative Exponent Rule

Multiple Choice

Simplify x^-7

-7

-7x

\frac{1}{x^7}

$-\frac{1}{x^7}$

Multiple Choice

Make this negative exponent positive.

9^-3

9³

$\frac{1}{9^{-3}}$

$\frac{1}{9^3}$

729

Multiple Choice

Rewrite using positive exponents.

3x⁻²

$\frac{3}{x^2}$

$\frac{1}{3^2}$

$\frac{x^2}{3}$

-3x²

Multiple Choice

Rewrite using positive exponents

\frac{1}{12^{-4}}

$\frac{1}{12^4}$

$12^{-4}$

$\frac{1}{20,736}$

$12^4$

4-4 Zero and Negative Exponents

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