Product and Power of Powers

The Product of Powers Property says when the base is the same and the exponent is different you should ________________________

• add the bases

• multiply the bases

• add the exponents

• multiply the exponents

(r⁴)⁶

• 10r

• r¹⁰

• 24r

• r²⁴

10⁵ x  10⁷

• 10²

• 10³

• 10¹²

• 10¹³

Simplify:

(x³y²)²

• x⁶y⁴

• x⁵y⁴

• x³y⁴

• x⁶y²

(2ab)³

• 8a³b³

• 8ab³

• 2a³b³

• 2ab

(4x)³

• 7x³

• 64x³

• 12x³

• 16x³

(2x³y)⁶

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

Simplify the expression: (2x³y)⁶

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

y¹²  x  y¹⁰

• y²

• y²²

• y²⁰

• y¹²⁰

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

• add

• subtract

• multiply

• divide