Products and Powers of Powers

• 2

• 8

• 4

• 1

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

The Power of Products Property says when the exponents are the same and the bases are different, you ________________________

• add the bases

• multiply the bases

• multiply the exponents

• add the exponents

• It's like "distributing" the power

• We add the powers together

• We divide the powers

Simplify:

(x³y²)²

• x⁶y⁴

• x⁵y⁴

• x³y⁴

• x⁶y²

(2ab)³

• 8a³b³

• 8ab³

• 2a³b³

• 2ab

(4x)³

• 7x³

• 64x³

• 12x³

• 16x³

Simplify the expression: (2x³y)⁶

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

Simplify the expression. 
(6x²)(-3x⁵)

Mathematical Equivalence

ON

(2x³y)⁶

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶