Product of Powers Applications

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

10⁵ x  10⁷

• 10²

• 10³

• 10¹²

• 10¹³

y¹²  x  y¹⁰

• y²

• y²²

• y²⁰

• y¹²⁰

(2x³y)⁶

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

Simplify the expression. 
(6x²)(-3x⁵)

Mathematical Equivalence

ON

Simplify:

(x³y²)²

• x⁶y⁴

• x⁵y⁴

• x³y⁴

• x⁶y²

(r⁴)⁶

• 10r

• r¹⁰

• 24r

• r²⁴

(5²)³

• 5⁶

• 5⁵

• 5⁷

• 5⁸

(x³⁾(x⁵)(x¹⁰)

• x²

• 18x

• x¹⁸

• x¹⁵⁰

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

• add

• subtract

• multiply

• divide