Honors Laws of Exponents Review

Simplify:

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

• $\frac{27x^2y^{15}}{16}$

• $\frac{27}{16x^2y^{15}}$

• $\frac{16}{27x^2y^{15}}$

• $-72x^2y^{15}$

Tags

CCSS.8.EE.A.1

Simplify:

 $\left(-8c^8d^{-5}e^2\right)^0$  

• -8

• 0

• 1

• cde

Tags

CCSS.8.EE.A.1

Simplify:

 $\frac{\left(-6f^4g^6\right)^2}{\left(-3f^3g^5\right)^2}\ -\ 7f^2g^2$  

•  $3f^2g^2$  

•  $-3f^4g^4$  

•  $-3f^2g^2$  

•  $20f^2g^2$  

Simplify:

 $\frac{\left(3a\right)\left(2a^2b^4\right)\left(4a^2b^4\right)^2}{3a^{-3}b^2}$  

•  $32a^9b^8$  

•  $16a^{10}b^{10}$  

•  $32a^4b^{10}$  

•  $32a^{10}b^{10}$  

Tags

CCSS.8.EE.A.1

Simplify:

 $\left(\frac{-2a^{-4}b^8c^{-9}}{3a^8b^{-6}c^{-11}}\right)^{^2}$  

•  $\frac{4b^{28}c^4}{9a^{24}}$  

•  $\frac{-2b^{28}c^4}{3a^{24}}$  

•  $\frac{4b^4}{9a^{24}c^{40}}$  

•  $\frac{4b^{22}}{3a^{16}c^7}$  

Tags

CCSS.8.EE.A.1

Simplify:

 $\frac{\left(-5c^9d^9e^{12}\right)^0\left(7c^{-9}d^2e\right)}{21c^7de}$  

•  $\frac{d}{3c^{16}}$  

•  $\frac{-5d}{3c^{16}}$  

•  $\frac{-5d^{10}e^{12}}{3c^7}$  

•  $\frac{3d}{c^{16}}$  

Tags

CCSS.8.EE.A.1

Simplify:

 $\frac{\left(5r^{-4}s^6t\right)^3}{\left(10r^3s^{-2}t\right)^2}$  

•  $\frac{3s^{22}t}{4r^{18}}$  

•  $\frac{5s^{14}t}{4r^{18}}$  

•  $\frac{5s^{22}t}{4r^{18}}$  

•  $\frac{5s^{22}}{4r^{18}}$  

Tags

CCSS.8.EE.A.1

Simplify:

 $\left(4fg^3\right)^{-2}\left(-4fg^3h\right)^2\left(3gh^4\right)^{-1}$  

•  $\frac{f}{3gh^3}$  

•  $-3gh^2$  

•  $\frac{1}{3g^{13}h^6}$  

•  $\frac{1}{3gh^2}$  

Tags

CCSS.8.EE.A.1

Simplify:

 $\left(\frac{3m^4}{4n^{-2}}\right)^{^2}\ \left(\frac{2n^5}{6m^8}\right)^{^3}$  

•  $\frac{n^{19}}{4m^{16}}$  

•  $\frac{n^{19}}{48m^{16}}$  

•  $\frac{1}{48m^{12}n^9}$  

•  $\frac{n^{11}}{48m^{16}}$  

Tags

CCSS.HSN.RN.A.2

Simplify:

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

•  $\frac{-w^6x^6}{2y^8}$  

•  $\frac{-2w^3x^5}{3y^8}$  

•  $\frac{-2w^6x^6}{3y^8}$  

•  $\frac{-2y^8}{3w^6x^6}$  

Tags

CCSS.HSA.APR.A.1