Product 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

10⁵ x  10⁷

• 10²

• 10³

• 10¹²

• 10¹³

(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

Simplify   (2m⁴)(5m²)

• 10m⁶

• 10m⁸

• 7m⁶

• 7m⁸

Simplify the expression. 
(6x²)(-3x⁵)

• 18x⁷

• -18x⁷

• 18x⁷

• 3x⁷

Simplify (c⁵)(c³)(c³)

• c⁴⁵

• 3c¹¹

• c¹¹

• 3c⁴⁵

Simplify (-3x⁴y⁵)²

• 9x⁸y¹⁰

• 6x⁸y¹⁰

• 3x⁸y¹⁰

• -9x⁸y¹⁰

Billy was asked to solve 3⁵∙3⁴. He got 9²⁰. What error did he make?

• When he multiplies exponents, he is supposed to add the base and the exponent

• When he multiplies exponents, he is supposed to multiply the base and keep the exponents

• When he multiplies exponents, he is supposed to keep the base and add the exponents if the base is the same

• None of the above