Exponent Laws and Operations

Choose the appropriate expression for multiplying exponents with the same base

• $x^a\cdot x^b=x^{a\cdot b}$

• $x^a\cdot x^b=2x^{a+b}$

• $x^a\cdot x^b=x^{a+b}$

• $x^a\cdot x^b=\left(x^a\right)^b$

Choose all equivalent expressions for $x^2\cdot x^6$  where 'x'=2

•  $x^{12}$  

•  $48$  

•  $x^8$  

•  $256$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Choose the appropriate Exponent Law for factors raised to a power

• $\left(xy\right)^n=x^ny^n$

• $\left(xy\right)^n=nx\cdot ny$

• $\left(xy\right)^n=xy^{n+n}$

• $\left(xy\right)^n=x^{n+n}y^{n+n}$

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.3

 $\left(-6x\right)^3$  ; choose all equivalent expressions

•  $-18x^3$  

•  $\left(-6\right)^3x^3$  

•  $-6^3x^4$  

•  $-216x^3$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Choose the expression that represents the Negative Exponent Law

• $x^n=\frac{1}{x^n}$

• $x^{-n}=\frac{1}{x^{-n}}$

• $x^{-n}=\frac{1}{x^n}$

• $x^{-n}=1$

 $\frac{3}{x^{-4}}$ ; choose all the equivalent expressions

•  $3x^4$  

•  $\frac{1}{3x^4}$  

•  $3x^{-4}$  

•  $\frac{3}{1}\cdot\frac{1}{x^{-4}}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $v\left(uv^2\right)\left(u^3v\right)=$  

•  $v^3u^3$  

•  $v^4u^4$  

•  $\left(uv\right)^8$  

•  $u^6v^2$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $\frac{12\left(15\div3\right)}{\left(20\cdot5\right)-\left(20\cdot2\right)}=$  

Tags

CCSS.HSA.APR.D.7

You spill some tea to six people. Every 7 days those six people spill the tea to six other people. How much tea was spilled after two months?

•  $6T\cdot4$  

•  $6^4T$  

•  $42T^7$  

•  $6^8T$  

 $\left(-3-12\right)-\left(-40\right)=$