Law of Exponents Review

Describe what happens to the exponent for each rule.

Groups:

(a) Power Rule

,

(b) Product Rule

,

(c) Quotient Rule

,

(d) Power of Product/Quotient Rule

• ADD the exponents

• SUBTRACT the exponents

• MULTIPLY the exponents

• DISTRIBUTE the exponents

Match the expression to the rule that would help you simplify.

• Power of a Quotient Rule

• Negative Exponent Rule

• Power of a Product Rule

• Product Rule

• Quotient Rule

Mathematical Equivalence

ON

Tags

CCSS.HSF.LE.A.4

Mathematical Equivalence

OFF

Answer explanation

Try using the Power of a Product Rule on the right hand side so that you can multiply the bases!

Reorder the expression from greatest to least.

What rule do you use to simplify the different parts of the expression.

f

e

Negative Exponent

Power of a Product

Power Rule

Power of a Quotient Rule

Quotient Rule

Zero Exponent

Product Rule

Tags

CCSS.8.EE.A.1

What is the order that the rules are used in the problem pictured?

• Product Rule

• Negative Exponent Rule

• Power of a Quotient Rule

Tags

CCSS.8.EE.A.1

Rewrite using positive exponents

• 2⁴

• 1/2⁴

• 4²

• 1/4²

Tags

CCSS.8.EE.A.1

• p⁵ / q²

• p⁶ / q⁴

• p⁶q⁸

Tags

CCSS.6.EE.A.1

• x⁵ / y²

• x³ / y⁶

• x³y⁵

Tags

CCSS.6.EE.A.1