Basic Exponents and Exponent Properties

Write with positive exponents:

1/a^-2

• a^-2

• a²

• 1/a¹

-4x⁰

• -4x

• -4

• 1

• -1

(5³x²y⁴)⁰

• 5xy

• 1

• 0

• 5

Simplify

(2a²b⁴z)(6a³b²z⁵)

• 8a⁵b⁶z⁶

• 12a⁶b⁸z⁵

• 12a⁵b⁶z⁶

• 8a⁶b⁸z⁵

Simplify

• x⁴/3

• 3x¹⁰

• 36x¹⁰

• 3x⁴

Simplify the following expression: 
xy^-7

• xy⁷

• x/y⁷

• x⁷/y

• x⁷y

When you see a power of a power, what does the exponent property say to do?

• Keep Base, Add Exponents

• Keep Base, Subtract Exponents

• Keep Base, Multiply Exponents

• Keep Base, Write Exponents Next to Each Other

When you see a zero power, what does the exponent rules say?

• = 0

• = 1

• = x

When you see negative exponents, what do the exponent properties say to do?

• Move base to opposite part of fraction, Make exponent positive

• Keep the base, Make Exponent positive 

• Keep the base, Subtract the exponent

• Move the base to the opposite part of fraction, Ignore the exponent

• Keep base, Multiply Exponents

• Multiply base, Keep Exponents

• Keep base, Subtract Exponents

• Keep base, Add Exponents