# Chapter 9 - Inequalities and Problem Solving - 9.5 Applications Using Linear Programming - 9.5 Exercise Set - Page 618: 31

$$\frac{3d^3}{2c}$$

#### Work Step by Step

We know the following rules of exponents. $$(1) \ a^m\cdot a^n = a^{m+n} \\ (2) \ (ab)^m =a^mb^m \\ (3) \ (a^m)^n =a^{mn} \\ (4) \ a^{-m} = \frac{1}{a^m} \\ (5)\ \frac{a^m}{a^n} =a^{m-n} \\ (6) \ a^0=1 \\ (7) \ (\frac{a}{b})^m =\frac{a^m}{b^m}$$ Thus, we find: $$\frac{6cd^4}{4c^2d}\\ \frac{3d^3}{2c}$$

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