POWERS & ROOTS

What is the value of 

 $4^5$  ?

•  $\ \ 120\$  

•  $\ \ \ \ 20\$  

•  $\ 1024\$  

•  $\ 1025$  

Which is the correct value for 

 $\sqrt{576}$  ?

•  $\ 22\$  

•  $\ 24\$  

•  $\ 28\$  

•  $\ 26\$  

Which of the following equals 

 $\ 86\ 200\ 000\$  ?

•  $\ \ 862\ \times\ 10^{5\ }$  

•  $\ \ \ 8.62\ \times10^5$  

•  $86.2\ \times\ 10^{-6}$  

•  $\ \ 8.62\ \times\ 10^7$  

Which expression is equivalent to

 $a^2\ \times\ a^3\ \times b^2\ \times b^6\ \times\ b^{-1}\ \times c^{-1}$  ?

•  $\ \ \ \ \ \ a^5b^7c^{-1}$  

•  $a^{-6}b^{-12}c^{-1}$  

•  $\ \ a^{-2}b^{-9}c^{-1}$  

•  $\ \ \ \ \ \ \ \left(abc\right)^{11\ }$  

Which of the following equals

 $5c^{-\frac{1}{3}}$  ?

•  $\ \ \ \ \ \ \frac{5}{c^3}\ \$  

•  $\ _5\left(3_{\sqrt{c}}\right)$  

•  $\ \ \ \ \ \frac{5}{3_{\sqrt{c}}}\$  

•  $\ \ \ \ \ \frac{5}{\sqrt{c}}\ \$  

Find the lowest common multiple (LCM) of 20, 30 and 45.

• $\ \ \ 5\$

• $\ \ 10\$

• $\ \ 90\$

• $\ 180\$

• $\ 360\$

Which of these equals

 $8ab^2c$  ?

•    $8\ \times\ a\ \times\ b\ \times\ c\$  

•    $\ \ \ \ 4a\ \times\ b\ \times\ 2c\ \$  

•     $\ \ \ \ \ \ 2ab\ \times\ 4ac\ \ \ \$  

•    $\ \ \ 2a\ \times\ 2b\ \times\ 2c\ \times\ b\$  

Which of these is

 $\left(p^2q\right)^4$  simplified ?

•  $\ p^8q^4\$  

•  $\ p^6q^{4\ }\$  

•  $\ \ \ p^{\frac{1}{2}}q\$  

•  $\ \ p^2q^4\$  

Three of the expressions below are equal. Select the two that are not equal.

• $a\ \times\ a\ \times\ a\ \times\ a$

• $\ \ \ \ \ \ \ \ \ \frac{2a^2}{a^4}\ \ \ \ \ \$

• $\ \ \frac{\ a^2\ \times\ a^3\ }{a}\ \$

• $\ \ \ \ \ \ \ \ \left(a^2\right)^3\ \ \ \ \$

• $\ \ \frac{\ a^3\ \times\ a^3}{\ a^2}\ \ \ \$

Below is a list of numbers. Select all the prime numbers from the list.

• $\ \ 39\ \$

• $\ \ 51\ \$

• $\ \ 46\ \$

• $\ \ 35\ \$

• $\ \ 61\ \$