Section B Section B Checkpoint

Problem 1

Select all the expressions that are equivalent to

2^{5}

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Solution

A, E, F, H

Write

4^5\boldcdot7^5

using a single exponent.

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Solution

28^5

Explain why

3^4\boldcdot8^3

cannot be written using a single exponent.

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Solution

Sample response: The expression has 4 factors that are 3 and 3 factors that are 8. Three 3s and three 8s can be regrouped into 3 factors of

3\boldcdot8

, but there will still be 1 extra factor of 3 that cannot be regrouped and, so, this expression cannot be rewritten using a single exponent.