Exponent Rules!

When using the Power to a Power rule, what are you supposed to do with the exponents? ex.  $\left(x^9\right)^{12}$  

• Add the exponents.

• Multiply the exponents.

• Subtract the exponents.

• Make it  $12x^9$  

Tags

CCSS.HSN.RN.A.2

Simplify the following:  $\left(4x^3\right)^4$  

•  $16x^7$  

•  $4^4x^7$  

•  $256x^{12}$  

•  $16x^{12}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

The Quotient of Powers Property says, "to divide powers with the same base, _________ the exponents."

ex.  $\frac{\text{}y^6}{\text{}y^3}$  

• Divide

• Add

• Multiply

• Subtract

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.3

Simplify the following:  $\frac{2v^5}{8v^3}$  

•  $\frac{v^2}{4}$  

•  $4v^2$  

•  $-6v^8$  

•  $6v^8$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Anything raised to the zero power (except zero) is equal to what?

Select ALL that are correct.

Simplify the following:  $\left(2x^4y^{-3}\right)^{-1}$  

•  $2^{-1}x^{-4}y^3$  

•  $-\frac{2}{x^4y^3}$  

•  $\frac{1}{2x^4y^3}$  

•  $\frac{y^3}{2x^4}$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify the following:  $\left(2v\right)^2\cdot2v^2$  

•  $2v^4$  

•  $8v^3$  

•  $2^2v^4$  

•  $8v^4$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify the following
 (no negative exponents):

  $\left(x^4\right)^{-3}\cdot2x^4$  

•  $\frac{2}{x^8}$  

•  $\frac{2^4}{x^8}$  

•  $\frac{1}{2x^8}$  

•  $2x^{-12}x^4$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify the following
(no negative exponents):
 $4a^3b^2\cdot3a^{-4}b^{-3}$  

•  $7a^{-1}b^{-1}$  

•  $\frac{12}{ab}$  

•  $12ab$  

•  $\frac{12}{a^{12}b^6}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify the following
(no negative exponents):
 $\frac{\left(-14\right)^6}{\left(-14\right)^9}$  

•  $\left(-14\right)^{-3}$  

•  $\frac{1}{\left(-14\right)^{15}}$  

•  $\frac{1}{\left(-14\right)^3}$  

•  $\left(-14\right)^{54}$  

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.3