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

• DISTRIBUTE the exponents

• MULTIPLY the exponents

• ADD the exponents

• SUBTRACT the exponents

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

• Power of a Quotient Rule

• Quotient Rule

• Negative Exponent Rule

• Power of a Product Rule

• Product 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

Zero Exponent

Power Rule

Power of a Quotient Rule

Negative Exponent

Product Rule

Power of a Product

Quotient 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