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9-12 Integrated Math 2 Unit 6 Lesson 1

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K-5 Math 6-8 Math •9-12 Math

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Integrated Math 1 •Integrated Math 2 Integrated Math 3

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Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 •Unit 6 Unit 7 Unit 8

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•Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15

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Unit 6, Lesson 1

Properties of Exponents

$Course Icon$

Integrated Math 2

Practice

Problem 1

Find the value of each variable that makes the equation true.

\(2^5 \boldcdot 2^3 = 2^a\)
\(\frac{7^4}{7^b} = 7^{\text- 2}\)
\(8^c = \frac{1}{64}\)

Problem 2

Select all the expressions equivalent to \(7^{\text- 2} \boldcdot 7^5 \boldcdot 7^{\text- 3}\).

\(0\)
\(1\)
\(\frac17\)
\(7^0\)
\(7^{10}\)

Problem 3

Which expression is equal to \(\frac{3^8}{3^2}\)?

\(1^6\)
\(3^{\text- 6}\)
\(3^4\)
\(3^6\)

Problem 4

Find the value of each variable that makes the equation true.

\(\frac{5^6}{5^m} = 5^9\)
\(2^3 \boldcdot 4^n = 2^{11}\)
\((7^4)^k = 7^{\text-8}\)

Problem 5

Evaluate the expression \(\frac{6^3}{6^3}\).
Explain how this helps show why \(6^0 = 1\).