Unit 6, Lesson 12

Meaning of Exponents

Grade 6

Practice

Problem 1

Select all the expressions that are equivalent to 64.

\(2^6\)
\(2^8\)
\(4^3\)
\(8^2\)
\(16^4\)
\(32^2\)

Problem 2

Select all the expressions that are equivalent to \(3^4\).

7
\(4^3\)
12
81
64
\(9^2\)

Problem 3

\(4^5\) is equal to 1,024. Find the value of each expression.

\(4^6\)
\(4^4\)
\(4^3\boldcdot 4^2\)

Problem 4

The expression \(6^3\) has a value of 216. Write three more expressions with exponents that also have a value of 216.

Problem 5

ForLesson 11: The Distributive Property, Part 3

Find two different ways to rewrite \(3xy + 6yz\) using the distributive property.

Problem 6

ForLesson 4: Practice Solving Equations

Solve each equation.

\(a - 2.01 = 5.5\)

\(b + 2.01 = 5.5\)

\(10c = 13.71\)

\(100d = 13.71\)

Problem 7

ForLesson 10: The Distributive Property, Part 2

Which expressions represent the total area of the large rectangle? Select all that apply.

A rectangle partitioned by a horizontal line segment into two smaller rectangles. The bottom horizontal is labeled 6 and the vertical side lengths are labeled n and m.

\(6(m+n)\)
\(6n + m\)
\(6n + 6m\)
\(6mn\)
\((n+m)6\)

Problem 8

ForLesson 16: Finding the Percentage

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.

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