Exponents Test 7th Grade

Which of the following expression has a result of $\frac{1}{36}$ ? 

•  $\left(\frac{1}{108}\right)^3$  

•  $\left(\frac{1}{9}\right)^4$  

•  $\left(\frac{1}{6}\right)^2$  

•  $\left(\frac{1}{2}\right)^5$  

Which expression is equivalent to

12x12x12x12x12x12x12x12x12x12x12x12x12x12

• $12^{13}$

• $12^{12}$

• $12^{14}$

• $12^{15}$

which is the simplified form of $m^{-8}p^0$  

•  $\frac{1}{m^8p}$  

•  $\frac{1}{m^8}$  

•  $\frac{p}{m^8}$  

•  $m^8$  

What is the value of $\left(\frac{2}{\left(3\right)}\right)^{-4}$  

•  $-\frac{81}{16}$  

•  $\frac{16}{81}$  

•  $\frac{81}{16}$  

•  $-\frac{16}{81}$  

 $4^3\times4^{-3}$  

• 0

• 1

• 4

• 6

What is the quotient?

 $\frac{7^{-4}}{7^{-9}}$  

•  $\frac{1}{7^{-13}}$  

•  $\frac{1}{7^5}$  

•  $7^5$  

•  $7^{13}$  

Which can be used to describe an equivalent expression for

 $\left(s^6\right)^{-3}$  

• Adding the exponents will create an equivalent expression.

• Dividing the exponents will create an equivalent expression.

•  $\frac{1}{s^6}$ multiplied three times

•  $\frac{1}{s^3}$  multiplied three times

 $\left(\left(p^{-5}\right)\left(p^4\right)\right)^{3\ }\left(\left(p^{-4}\right)\left(q^3\right)\right)^0$  find a value if p=3, q= -9

•  $\frac{1}{3}$  

•  $-\frac{1}{3}$  

•  $-\frac{1}{27}$  

•  $\frac{1}{27}$  

• 
• 16c³d³

• 
• 

Tags

CCSS.HSA.APR.A.1

Product Rule states: keep the base the same and do this to the exponents.

• multiply

• add

• subtract

• divide