Simplifying Exponentials Exponent Rules

  simplify    7^-2

• 1/7² = 1/49

• -49

• -14

• 1/14

The amount of bacteria in an infection n hours after taking medication is (1/x³)ⁿ .      
Write a simplified expression that represents the amount of bacteria in an infection 4 hours after taking medication.

•  (1/x³)⁴

•  (1/x³)^-4

•  (1/x⁷)

•  (1/x³)⁴ = (1⁴) / (x^{3 times4}) = 1/x¹²

x⁻⁶

• 1 ⁄ x⁶

• x⁶

• -x⁶

• -1 ⁄ x⁶

Simplify the following expression:

(xyz)⁰ =

• 0

• 1

• xyz

• -1

Simplify the following:
(x²y)⁵

• x⁷y⁵

• x²y⁵

• x¹⁰y⁵

• x⁵y⁵

True or False: 

• True 

• False

Simplify the expression.

• 7⁶

• 7^-5

• 1/7⁵

• 7⁵

Simplify the expression.

• 1
• g¹⁰
• g²⁵
• g

Simplify the expression.

• ²²

• ³⁰

• 6²²

• 6³⁰