# Chapter 7 - Exponents and Exponential Functions - 7-2 Multiplying Powers With the Same Base - Practice and Problem-Solving Exercises - Page 430: 28

The answer is 5184$\times$$b^{\frac{7}{3}}$$\times$$t^{\frac{4}{5}} #### Work Step by Step To solve this (8b^{\frac{2}{3}}$$\times$9$t^{\frac{1}{5}}$)($8b^{\frac{5}{3}}$$\times9t^{\frac{3}{5}}) = (8\times8)(b^{\frac{2}{3}+\frac{5}{3}})(9\times9)(t^{\frac{1}{5}+\frac{3}{5}}) = (64b^{\frac{7}{3}})(81t^{\frac{4}{5}}) = 5184\times$$b^{\frac{7}{3}}$$\times$$t^{\frac{4}{5}}$

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