Laws of Exponents

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

• multiply

• add

• subtract

• divide

Tags

CCSS.HSN.RN.A.2

Negative Exponent Rule states: you must change the exponent to a positive by doing what?

• just change it to positive

• move to the bottom of fraction bar

• move it to the opposite side of fraction bar

Tags

CCSS.HSN.RN.A.2

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

• multiply

• add

• subtract

• divide

Zero Exponent Rule states that _____ becomes a 1.

• the exponent

• the base

• nothing

• the whole term

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

• multiply

• add

• subtract

• divide

Simplify $\frac{1}{a^{-2}}$  

•  $a^{-2}$  

•  $a^2$ 

•  $\frac{1}{a^1}$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify (a³b)⁴(ab⁶)²

• a¹⁴b¹⁶

• (a⁷b)(ab⁸)

• a¹²b⁴a²b¹²

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify:

(x³)(x²)

• x⁵

• x⁶

• x

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Simplify:

(x³)⁴

• x⁷

• x¹²

• x^-1

• x

Tags

CCSS.HSN.RN.A.2

Simplify:

(3p²)(2p⁴q²)

• 6p^-2q²

• 6p²q²

• 6p⁸q²

• 6p⁶q²

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3