Laws of Exponents Advanced

• 3^-5 = 1/3⁵
• 3⁵
• 3⁴²
• 1/9

Solve (hint: there's more than 1 law you must obey)

• a¹⁴b¹⁶

• (a⁷b)(ab⁸⁾

• a¹²b⁴a²b¹²

• a^-3

• a³

• 3a

• 1/a^-3

• 
• 
• 
• 

(2ab)³

• 2³a³b³

• 2ab³

• 6a³b³

• 6ab

(y⁹)^-2

• y¹⁸

• y¹¹

• 1/y¹⁸

• y⁹/2

Solve (hint: there's more than 1 law you must obey)

• x²⁸y¹² / x²y

• x²⁸y¹² / x⁸y⁴

• x²⁰y⁸

Power to a Power Law states: keep the base the same and do this to the exponents.

• multiply

• add

• subtract

• divide

Division Law states: keep the base the same and do this to the exponents.

• multiply

• add

• subtract

• divide

Simplify (-5.7)⁰

• 1

• 0

• -1

• -5.7