Exponent Product and Power Rules

Simplify:

 $7a^2\cdot\left(5a^6b\right)^2$  

•  ^{$35a^{14}b^2$} 

•  $175a^{12}b^2$  

•  ^{$175a^{14}b^2$}  

•  $35a^{14}b$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify:

 $2x^2y^3\cdot\left(-4xy\right)^2$  

•  $16x^3y^6$  

•  $-32x^4y^5$  

•  $-8x^4y^6$  

•  $32x^4y^5$  

Tags

CCSS.HSA.APR.A.1

What is the area of the rectangle with the given sides?

•  $7x^3y^8z^4$  

•  $10x^2y^{16}z^3$  

•  $10x^3y^8z^4$  

• None of the above

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

CCSS.HSG.GPE.B.7

CCSS.HSG.MG.A.1

Simplify:

 $-3xy^3\cdot\left(4xy\right)^2$  

•  $-12x^3y^5$  

•  $-48x^2y^4$  

•  $-48x^3y^5$  

•  $-12x^2y^6$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Find the area of the triangle given: 
B =  $3b^2$  
H =  $12p^7b^{19}$  

Hint:  $A=\frac{1}{2}Bh$  

•  $18b^{21}p^7$  

•  $18b^7p^{21}$  

•  $36b^{21}p^7$  

•  $36b^{38}p^7$  

Tags

CCSS.HSA.SSE.A.1

CCSS.HSG.GMD.A.1

Simplify:

 $\left(3x^4y^5\right)^2\cdot\left(-2x^2y^{-1}\right)^3$  

•  $-72x^{14}y^7$  

•  $72x^{14}y^{13}$  

•  $-72x^2y^{13}$  

•  $-6x^{14}y^7$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify:

 $\left(x^2\right)^3\cdot3x^3$  

•  $3x^8$  

•  $3x^{18}$  

•   $9x^9$  

•   $3x^9$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify:

 $\left(m^3n^4\right)^4\cdot\left(mn^3\right)^2$  

•   ^{$m^{14}n^{22}$}  

•   ^{$m^{13}n^{22}$}  

•   ^{$m^9n^{13}$}  

• None of the above

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify:

 $\left(y^3\right)^3\cdot yx^4\cdot x^2$  

•   $x^6y^7$  

•   $x^6y^{10}$  

•   $x^8y^{10}$  

• None of the above

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify:

 $\left(y^3\right)^3\cdot\left(2x^4\right)^4$  

•   $8x^{16}y^9$  

•   $16x^8y^6$  

•   $2x^{16}y^9$  

•   $16x^{16}y^9$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3