Alg 1 Warm-up 3

Alg 1 Warm-up 3

Negative Exponents

Multiple Choice

 $8^{-5}$  

•  $\frac{1}{8^5}$  

•  $\frac{1}{5^8}$  

•  $\sqrt{8^5}$  

•  $-\left(8^5\right)$  

Multiple Choice

 $12g^{-7}$  

•  $-\left(12g\right)^7$  

•  $\frac{1}{12g^7}$  

•  $\frac{12}{g^7}$  

•  $\frac{1}{7g^{12}}$  

Multiple Choice

 $\frac{12}{3a^{-3}}$  

•  $\left(\frac{3a}{12}\right)^3=\left(\frac{a}{4}\right)^3$  

•  $\frac{12}{3a^3}=\frac{4}{a^3}$  

•  $\frac{12a^3}{3}=4a^3$  

Multiple Choice

Which of the following is true?

• $\left(7.21\right)^0>\left(3.5\right)^0$

• $\left(7.21\right)^0<\left(3.5\right)^0$

• $\left(7.21\right)^0=\left(3.5\right)^0$

Multiple Choice

Rewrite using a positive exponent. 

 $w^{-13}$  

•  $-w^{13}$  

•  $\frac{1}{w^{-13}}$  

•  $\frac{1}{w^{13}}$  

•  $w^{13}$  

Multiple Choice

Are these two equal?

 $2^{-2}$  and  $-2^2$  

• Yes

• No

Multiple Choice

Simplify: (CHALLENGE)

 $\frac{a^3b^{-2}}{c^2d^{-5}}$  

•  $\frac{-a^3b^2}{-c^2d^5}$  

•  $\frac{c^2d^5}{a^3b^2}$  

•  $\frac{cd^{-3}}{ab}$  

•  $\frac{a^3d^5}{b^2c^2}$