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}}$

To solve this (8$b^{\frac{2}{3}}$$\times$9$t^{\frac{1}{5}}$)($8b^{\frac{5}{3}}$$\times$9$t^{\frac{3}{5}}$) = (8$\times$8)($b^{\frac{2}{3}+\frac{5}{3}}$)(9$\times$9)($t^{\frac{1}{5}+\frac{3}{5}}$) = (64$b^{\frac{7}{3}}$)(81$t^{\frac{4}{5}}$) = 5184$\times$$b^{\frac{7}{3}}$$\times$$t^{\frac{4}{5}}$