Power Rule and Product Rule

Multiplication Law states: keep the base the same and do this to the exponents.

• multiply
• add
• subtract
• divide

Power to a Power Law states: keep the base the same and do this to the exponents.

• multiply
• add
• subtract
• divide

Tags

CCSS.8.EE.A.1

Solve  

• c³⁰
• c¹
• c¹¹

Tags

CCSS.HSA.SSE.A.2

Solve

• h¹⁹
• h⁹⁰
• h^-1
• 1/h¹

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Solve (hint: there's more than 1 law you must obey)

• a¹⁴b¹⁶
• (a⁷b)(ab⁸⁾
• a¹²b⁴a²b¹²

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify the expression:
5²⋅5¹=

• 5³
• 5³⁺¹
• 5²

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.3

Simplify the expression:

(-2) ⋅ (-2)² ⋅ (-2)³

• -2⁵

• 2⁶

• (-2)⁷

• -2⁶

Tags

CCSS.8.EE.A.1

Simplify the expression.
x⁴ (x¹²)

• x³
• x⁴⁸
• x¹⁶
• x⁸

Tags

CCSS.HSA.APR.A.1

Simplify the expression. 
(6x²)(-3x⁵)

• 18x⁷
• -18x⁷
• 18x⁷
• 3x⁷

Tags

CCSS.HSA.APR.A.1

Simplify   (2m⁴)(5m²)

• 10m⁶
• 10m⁸
• 7m⁶
• 7m⁸

Tags

CCSS.HSA.APR.A.1