Power of Power and Product of Powers

(3⁴)(3⁷)

• 3²⁸

• 3³

• 3^-3

• 3¹¹

(8⁵)³

• 8⁸
• 8¹⁵
• 8²
• 1/8²

Product Rule states: keep the base the same and do this to the exponents.

• multiply
• add
• subtract
• divide

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

• multiply
• add
• subtract
• divide

 Simplify
(3x³y⁵)⁴

• 3x¹²y²⁰
• 81x¹²y²⁰
• 12x¹²y²⁰
• 81x⁷y⁹

(4x⁵y²)(6x²y³)

• 10x¹⁰y⁶
• 24x⁷y⁵
• 24x¹⁰y⁶
• 10x⁷y⁵

Simplify: (-3x⁴)(5x²)

• -15x⁸
• -15x⁶
• 2x⁸
• 2x⁶

Simplify: (4x⁵)²

• 16x¹⁰
• 8x¹⁰
• 16x⁷
• 8x⁷

(x⁸)(x^-5)

• x^-40
• x^-13
• x¹³
• x³

(t^-6)^-5

• t^-11
• t^-30
• t³⁰
• t¹¹