# Chapter 7 - Exponents and Exponential Functions - 7-2 Multiplying Powers With the Same Base - Lesson Check - Page 429: 2

6$n^{\frac{17}{12}}$

#### Work Step by Step

2$n^{\frac{2}{3}}$ $\times$ 3$n^{\frac{3}{4}}$ = (2$\times$3)($n^{\frac{2}{3}+\frac{3}{4}}$) = 6$n^{\frac{2}{3}+\frac{3}{4}}$ = 6$n^{\frac{2(4)+3(3)}{12}}$ = 6$n^{\frac{17}{12}}$ This question was solved using the exponential laws.

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