Unit 1: Exponents and Scientific Notation Pre-Assessment

Which expression is equivalent to 2x^-2y^-4

• $\frac{2}{\left(xy\right)^6}$

• $\frac{2}{x^2y^4}$

• $\frac{1}{x^2y^4}$

• $\frac{1}{2\left(xy\right)^6}$

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Melanie stated that the expression 4² x 4³ is equivalent to 16⁵. Explain whether or not Melanie is correct.

• Melanie is correct because the bases should be multiplied.

• Melanie is not correct because the bases should not be multiplied.

• Melanie is not correct because the exponents were supposed to be multiplied.

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What is the value of the expression  $\frac{6^{-8}}{6^{-5}}$  ?

•  $1^3$  

•  $216$  

•  $\frac{1}{216}$  

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Using the equation  $\frac{4^n}{4^m}=4^5$  , determine the value of m when n=10.

• m = 5

• m = 10

• m = 50

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Which expression does not have the value of

 $\frac{1}{3,125}$  ?

•  $5^{-3}\cdot5^{-2}$  

•  $-5^3\cdot-5^2$  

•  $5^{-5}$  

•  $3,125^{-1}$  

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Mrs. Jones asked her students to write numerical expressions to  $\left(2^{-4}\cdot3^{-3}\right)^3\div\left(2^{-3}\cdot3^{-2}\right)^2$  .  Which of these responses is correct?

•  $2^0$  

•  $\frac{1}{2}\cdot\frac{1}{3^5}$  

•  $2^{-6}\cdot3^{-5}$  

•  $2^{-18}\cdot3^{-13}$  

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A book is about

 $9.3\times10^{-2}$   meters thick.  A bookshelf is about  $1.865\times10^1$  meters long.  About how many copies of this book will fit on the bookshelf?

• 17 books

• 20 books

• 200 books

• 498 books

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Which is equivalent to $\frac{2^7}{2^5}$  ?

•  $1^2$  

•  $1^{12}$  

•  $2^2$  

•  $2^{12}$  

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What is the value of $3^{-2}\times3$ ?

•  $\frac{1}{3}$  

•  $\frac{1}{9}$  

•  $-18$  

•  $-27$  

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Which expression is equivalent to $5^{-2}\times5^5$  ?

•  $25^{-10}$  

•  $5^{-10}$  

•  $5^3$  

•  $25^3$  

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