Numerical expressions

Simplify the exponents into a single power.

Which exponent rule does this problem apply to?

(x²)(x⁵)

• Quotient Rule

• Power Rule

• Negative Exponent Rule

• Product Rule

 $4c^8d^{-3}\cdot5c^{-5}d^{-1}$  

•  $9c^3d^4$  

•  $\frac{20c^3}{d^4}$  

•  $20c^3d^4$  

•  $\frac{20}{c^3d^4}$  

Simplify: (3x⁴y⁵)²

• 3x⁸y¹⁰

• 6x⁸y¹⁰

• 6x⁶y⁷

• 9x⁸y¹⁰

• 9x⁶y⁷

POWER to a POWER EXPONENT LAW states, keep the base the same and ________________ the exponents.

• multiply

• add

• subtract

• divide

(-a⁶b)² + 9a¹²b²

Mathematical Equivalence

ON

Simplify (-3x⁴y⁵)²

• 9x⁸y¹⁰
• 6x⁸y¹⁰
• 3x⁸y¹⁰
• -9x⁸y¹⁰

x

 $In\ the\ exression\ x^b...\ the\ b\ represents...$  

• exponents

• base

Simplify the following expression:

r⁶ ⋅ r² ⋅ r³

• r⁶²³

• r¹¹

• 11r

• r³⁶