## Algebra 2 Common Core

Published by Prentice Hall

# Skills Handbook - Operations With Exponents - Exercises - Page 978: 14

#### Answer

$$9x^{2}$$

#### Work Step by Step

The exponent $2$ shows how many times $(3x)$ is used as a factor: $$(3x)^{2}=(3x)\times (3x) = 3\times 3\times x \times x.$$ To multiply powers of the same base, add the exponents: $$= 3^{1+1} \times x^{1+1}= 3^{2}x^{2}=9x^{2}.$$

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