Laws of Exponents - Extra!

Which of the following is the rule for multiplying exponents?

• $x^a\cdot x^b\ =\ x^{a+b}$

• $x^a\cdot x^b\ =\ x^{a-b}$

• $x^a\cdot x^b\ =\ x^{a\cdot b}$

• $x^a\cdot x^b\ =\ x^{\frac{a}{b}}$

Simplify $\left(x^{12}\right)\left(x^{-2}\right)$  

•  $x^{10}$  

•  $x^{-24}$  

•  $x^{-10}$  

•  $x^{24}$  

Simplify

 $2x^3\cdot x^4$  

•  $3x^{12}$  

•  $3x^7$  

•  $2x^{12}$  

•  $2x^7$  

Simplify $\left(-x^3\right)\left(-7x^5\right)$  

•  $7x^8$  

•  $-7x^{15}$  

•  $-7x^8$  

•  $7x^{15}$  

 $\left(12a^2b^{-1}c^4\right)\left(3a^3b^5c^{-2}\right)$  is equivalent to which of the following?

•  $36a^6b^{-5}c^{-8}$  

•  $15a^5b^4c^2$  

•  $15a^6b^{-5}c^{-8}$  

•  $36a^5b^4c^2$  

 $7x^0$  

• 1

• 7

•  $x^7$  

•  $x^{-7}$  

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.2

 $\frac{1}{a^{-5}}$  

•  $a^{-5}$  

•  $\frac{a}{5}$  

•  $a^5$  

•  $\frac{5}{a}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

 $4z^4\cdot6z^{-6}$  

•  $\frac{24}{z^2}$  

•  $24z^{-24}$  

•  $\frac{10}{z^2}$  

•  $10z^{-24}$  

Tags

CCSS.HSA.APR.A.1

According to exponent rules, when we divide the expressions we _______ the exponents.

• add
• subtract
• multiply
• divide

Tags

CCSS.HSA.APR.A.1

Simplify the expression.  $-\frac{x^4y^{-4}}{\left(yx^{-3}z^{-4}\cdot-2x^3y^{-1}\right)^{-2}}$  

•  $\frac{yz^6}{x^{12}}$  

•  $-\frac{4x^4}{y^4z^8}$  

•  $-\frac{x^2z^6}{2y}$  

•  $\frac{y^3}{2x^6z^8}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3