## Algebra 1

Published by Prentice Hall

# Chapter 7 - Exponents and Exponential Functions - Chapter Review - 7-3 and 7-4 Multiplication Properties of Exponents: 34

#### Answer

q$^{12}$r$^{4}$

#### Work Step by Step

(q$^{3}$r)$^{4}$ As each of these variables is being raised to the fourth power, their current exponent must be multiplied by 4: q$^{3}$ has an exponent of 3 and is being raised to the 4th power. As a result, 4 and 3 should be multiplied together: q$^{3 x 4}$ = q$^{12}$ Likewise, r has an exponent of 1 and is being raised to the 4th power. As a result, 1 and 4 should be multiplied together: r$^{1 x 4}$ = r$^{4}$ Together, these simplify to q$^{12}$r$^{4}$

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