Simplify

 $\frac{\left(2m^{2\ }n^4\right)^3\ \times\left(3mn^4\right)^2}{12m^7n^{12}}$  

•  $A\ \ \ \ \ 6mn^8$  

•  $B\ \ \ \ \ \frac{1}{2}mn^8$  

•  $C\ \ \ \ \ 6m^8n$  

•  $D\ \ \ \ \ \frac{1}{2}m^8n$  

Simplify

 $\frac{24d^{3\ }e^5\ \times\left(3d^{3\ }e^4\right)^2}{\left(d^{5\ }e^6\right)\ \times\left(6de^2\right)^3}$  

•  $A\ \ \ \ \ d^5e^2$  

•  $B\ \ \ \ \ 12de$  

•  $C\ \ \ \ \ de$  

•  $D\ \ \ \ \ 12d^5e^2$  

Simplify

 $\frac{3m^2n^4\ \times\left(mn^3\right)^{-2}}{9m^3n^5}$  

•  $A\ \ \ \ \ 3m^3n^7$  

•  $B\ \ \ \ \ \frac{1}{3m^3n^7}$  

•  $C\ \ \ \ 3m^7n^3$  

•  $D\ \ \ \ \ \frac{1}{3m^7n^3}$  

Simplify

 $\frac{\left(2^3\times3^2\right)^3}{\left(2\ \times3^4\right)^5}$  

•  $A\ \ \ \ \ 2^{4\ }\times\ 3^{14}$  

•  $B\ \ \ \ \ \frac{2^{14}}{3^4}$  

•  $C\ \ \ \ \frac{2^4}{3^{14}}$  

•  $D\ \ \ \ \ \frac{1}{2^{4\ }\times3^{14}}$  

Simplify

 $\frac{\left(5^2\right)^5}{\left(2^3\ \right)^{-2}\times\ \left(5^4\right)^2}$  

•  $A\ \ \ \ \ 2^{6\ }\times\ 5^2$  

•  $B\ \ \ \ \ \frac{2^6}{5^2}$  

•  $C\ \ \ \ \frac{2^2}{5^6}$  

•  $D\ \ \ \ \ \frac{1}{2^{6\ }\times5^2}$  

Which of the following is

 $CORRECT$  

•  $A\ \ \ \ \ 2^0\ =\ 2$  

•  $B\ \ \ \ \ 2^1\ =1$  

•  $C\ \ \ \ \ y^{-5\ }=\frac{y}{5}$  

•  $D\ \ \ \ \ \left(\frac{5}{8}\right)^{-3}\ =\left(\frac{8}{5}\right)^3$  

Which of the following is

$CORRECT$

• $A\ \ \ \ \left(\ 2^4\ \right)^5\ =\ \left(4^2\right)^5$

• $B\ \ \ \ \left(\ 3^3\ \right)^7=\left(27^{2\ }\right)^4$

• $C\ \ \ \ \left(5^2\right)^5=\left(125^2\right)^3$

• $D\ \ \ \ \left(7^2\ \right)^4\ =\left(49^2\right)^3$

Simplify

 $\left(2w^2x^3\right)^4$  

•  $A\ \ \ \ \ 8w^8x^{12}$  

•  $B\ \ \ \ \ 16w^8x^{12}$  

•  $C\ \ \ \ \ 8w^6x^7$  

•  $D\ \ \ \ \ 16w^6x^7$  

Simplify

 $\left(11^3\ \times9^5\right)^3$  

•  $A\ \ \ \ \ 11^{3\ }\times9^5$  

•  $B\ \ \ \ \ 11\ \times\ 9^2$  

•  $C\ \ \ \ \ 11^6\ \times9^8$  

•  $D\ \ \ \ \ 11^9\ \times9^{15}$  

Simplify

 $\frac{\left(h^3k^2\right)^4}{\left(hk\right)^2}$  

•  $A\ \ \ \ \ h^{10\ }k^6$  

•  $B\ \ \ \ \ h^{11}\ k^6$  

•  $C\ \ \ \ \ h^5k^4$  

•  $D\ \ \ \ \ h^6k^4$