Exponents Product and Quotient Rule

Quotient Rule states: keep the base the same and do this to the exponents.

• multiply

• add

• subtract

• divide

Simplify the exponential expression:

• 10x^-2

• 2x²

• 2x¹²

• 10x¹²

What does the quotient rule say?

• Multiply the COEFFICIENTS and ADD the exponents

• Multiply the COEFFICIENTS and SUBTRACT the exponents

• Divide the COEFFICIENTS and ADD the exponents

• Divide the COEFFICIENTS and SUBTRACT the exponents

5⁴=

• 20

• 625

• 1024

Simplify the expression.

• 1
• g¹⁰
• g²⁵
• g

In order to multiply powers with the same base, we add their exponents. 

• True 

• False

Simplify the expression: 
c⁴⋅c³=

• ^c12

• c⁴⁺³

• c⁷

Simplify the expression:
5²⋅5¹=

• 5³

• 5³⁺¹

• 5²

Simplify the expression: 3x²⋅x²=

• 3x

• 3x²⁺²

• 3x⁴

Simplify the expression: r⁶⋅r²⋅r³=

• r⁶⁺²⁺³

• r¹¹

• 11r