Exponents Zero and Negative Powers

Simplify x^-7

• -7

• -7x

• 1/x⁷

• -1/x⁷

x⁻⁶

• 1 ⁄ x⁶

• x⁶

• -x⁶

• -1 ⁄ x⁶

  Simplify    7^-2

•  1/49

• -49

• -14

• 1/14

Make this negative exponent positive.
9^-3

• 9³

• 1/9^-3

• 1/9³

• 729

Simplify the expression w⁰ , where w ≠ 0.

• 0

• 1

• w

• w¹

Anything raised to a power of zero is always: 

(a)  

• 1

• 0

• itself

• negative

Simplify

• 1/16

• -1/32

• 1/32

• 1/10

Which is greater,  2654⁰ or 5⁰?

• 2654⁰

• 5⁰

• They are the same

Rewrite this expression using a positive exponent.

4^-3

Mathematical Equivalence

ON

A dish containing bacteria has a diameter of 0.0001 kilometer. The diameter of a bacterium is 10^-16 kilometer.

How many times as large is the diameter of the dish as the diameter of the bacterium?

__ times as large

• 10¹²

• 10^-12

• 10²⁰

• 10^-20