Exponent Rules Power to a Power

According to exponent rules, when we raise a power to a power we _______ the exponents.

• add

• subtract

• multiply

• divide

Simplify the following expression:

(x⁵)⁴

• x⁹

• x²⁰

• x

• x⁵⁴

Simplify the following expression:

(b³)⁸

• b¹¹

• 8b³

• b²⁴

• 24b

Simplify.
(x³ ⋅ y⁴ ⋅ z)³ ⋅ (x⁵ ⋅ y ⋅ z³)²

• x¹⁹y¹²z⁹

• x¹⁹ y¹⁴z⁹

• x¹³y¹⁰z⁹

• x²³y⁴²z¹¹

The power to a power rule states that...

• For a power raised to a power add the exponents

• For a power multiplied by a power add the exponents

• For a quotient raised to a power subtract the exponents

• For a power raised to a power multiply the exponents

Mathematical Equivalence

ON

• 32t¹¹r⁸
• 32t³⁰r¹⁵
• -32t³⁰r¹⁵
• -32t¹¹r⁸

Simplify (2x⁴y⁷)³

• 6x⁷y¹⁰

• 6xy³²

• 8x¹²y²¹

• 8x⁷y¹⁰

Simplify (2x⁴y⁷)³

• 6x⁷y¹⁰

• 6xy³²

• 8x¹²y²¹