Laws of Exponents Power of a Product Rule

Simplify

• x²⁸y¹² / x²y

• x²⁸y¹² / x⁸y⁴

• x²⁰y⁸

• x⁵y

According to the laws of exponents, when multiplying keep the base the same and __________ the exponents.

• Multiply

• Add

• Divide

• Subtract

According to the laws of exponents, when dividing keep the base the same and __________ the exponents.

• add

• subtract

• multiply

• divide

• -6c⁵
• -6c
• 6c
• -6c⁶

3 ∙ 3⁰ ∙ 3³

• 81

• 3

• 27

• 1

• 5⁸
• 5⁶
• 5²
• 1

According to the product rule, when we multiply powers with the same base, we keep the base and _______ the exponents.

• Multiply

• Add

• Divide

• Subtract

Simplify the following:
(x²y)⁵

• x⁷y⁵

• x²y⁵

• x¹⁰y⁵

• x⁵y⁵

Simplify: x ∙ x ∙ x ∙ x ∙ x  ∙ x

• x⁶

• 6x

• x³

• 6x⁶

5r²⋅ 6r

• 30r³

• 30r²

• 11r³

• 11r²