Multiplication and Power Laws of Exponents

Simplify:
3p² x 2p⁴q²

• 6p^-2q²

• 6p²q²

• 6p⁸q²

• 6p⁶q²

Simplify:
(x³y²)(xy⁴)

• x³y⁸

• x⁴y⁶

• x³y⁶

• x⁴y⁸

(ab⁸c)(a^-17c¹⁰)

• a¹⁷b⁸c¹¹

• a¹⁶b⁸c¹¹

• (b⁸c¹¹)/(a¹⁶)

• a^-17b⁸c¹⁰

Which exponent rule is shown here? 
w⁷⋅w⁹ = w^{7 + 9} = w¹⁶

• Product of Powers Rule

• Power to power Rule

• Quotient Rule

• Negative Exponent Rule

Simplify the expression. 
(m⁴ )2m^-3

• m

• 2m

• 2m^-1

• m/2m³

Simplify.
x⁴y^-2 ⋅ x^-2y²

• y/x²

• x²y

• x²

• x⁶y

Simplify.
-4a^-2 ⋅ 2ab³

• -8b³/a³

• -6b³/a

• 6b³/a

• -8b³/a

According to the laws of exponents, when multiplying keep the base and __________ the exponents.

• Multiply

• Add

• Divide

• Subtract

Anything raised to a power of zero is always: 

• 0

• 1

• itself

• negative

According to the laws of exponents, when dividing keep the base and __________ the exponents.

• add

• subtract

• multiply

• divide