Lesson 12
Meaning of Exponents
Problem 1
Select all the expressions that are equivalent to 64.
\(2^6\)
\(2^8\)
\(4^3\)
\(8^2\)
\(16^4\)
\(32^2\)
Solution
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Problem 2
Select all the expressions that equal \(3^4\).
7
\(4^3\)
12
81
64
\(9^2\)
Solution
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Problem 3
\(4^5\) is equal to 1,024. Evaluate each expression.

\(4^6\)

\(4^4\)
 \(4^3\boldcdot 4^2\)
Solution
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Problem 4
\(6^3=216\). Using exponents, write three more expressions whose value is 216.
Solution
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Problem 5
Find two different ways to rewrite \(3xy + 6yz\) using the distributive property.
Solution
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(From Unit 6, Lesson 11.)Problem 6
Solve each equation.
\(a  2.01 = 5.5\)
\(b + 2.01 = 5.5\)
\(10c = 13.71\)
\(100d = 13.71\)
Solution
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(From Unit 6, Lesson 5.)Problem 7
Which expressions represent the total area of the large rectangle? Select all that apply.
\(6(m+n)\)
\(6n + m\)
\(6n + 6m\)
\(6mn\)
\((n+m)6\)
Solution
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(From Unit 6, Lesson 10.)Problem 8
Is each statement true or false? Explain your reasoning.
 \(\frac{45}{100} \boldcdot 72 = \frac{45}{72} \boldcdot 100\)
 16% of 250 is equal to 250% of 16
Solution
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(From Unit 3, Lesson 16.)