Powers and Roots

Which expression is equivalent to  $\left(-12\right)\left(-12\right)\left(-12\right)\left(-12\right)\left(-12\right)$ ? 

•  $-12^1$  

•  $\left(-12\right)^5$  

•  $12^{-5}$  

•  $-12^5$  

A golf ball is dropped from the top of a cliff. After 7 seconds the ball hits the ground. The distance in feet the ball traveled ban be estimated by  $16\left(7\right)^2$ . About how far did the ball drop?

• 49 feet

• 112 feet

• 784 feet

• 12,544 feet

Evaluate  $a^3-b^2+18$  if  $a=4$  and  $b=8$ .

• -3

• -21

• 14

• 18

Write  $\frac{1}{3^9}$  using a negative exponent other than  $-1$ .

•  $\frac{1}{3^{-9}}$  

•  $3^9$  

•  $3^{-9}$  

•  $-3^9$  

Write the product of the expression $5^4\cdot5^{-7}$  using a positive exponent and a negative exponent.

•  $5^3$  

•  $5^{-3}$  

•  $5^{11}$  

•  $\frac{1}{5^{-3}}$   

•  $\frac{1}{5^3}$  

Write and evaluate an expression for the following statement.

the quotient of ten to the seventh power and ten cubed

• $\frac{10^7}{10^3}=10^4$

• $\frac{10^3}{10^7}=10^{-4}$

• $10^7\cdot10^3=10^{10}$

• $\frac{10^7}{10^3}=10^{10}$

• $\frac{10^3}{10^7}=10^4$

What is the value of the expression $6a^3-\left(9b^4\right)-15$ if  $a=3$  and  $b=2$  ?

• -5847

• -15

• 15

• 5847

 Which expression is equivalent to the product of  $z^{-3}\cdot z^5$ ?

•  $\frac{1}{z^2}$  

•  $z^8$  

•  $\frac{1}{z^{-2}}$  

•  $z^2$  

Which number is the BASE?
2³ = 8

• 2
• 3
• 8

Tags

CCSS.HSF.BF.B.5

Which number is the EXPONENT?
4^{2 =} 16

• 4
• 2
• 16

Tags

CCSS.6.EE.A.1