Mathematics

Mathematics

Problem

Simplify each of the following and express each as a rational number: a. (32)4×(15)2\left(\frac{3}{2}\right)^4 \times \left(\frac{1}{5}\right)^2 b. (−23)5×(−37)3\left(\frac{-2}{3}\right)^5 \times \left(\frac{-3}{7}\right)^3 c. (−12)5×23×(34)2\left(\frac{-1}{2}\right)^5 \times 2^3 \times \left(\frac{3}{4}\right)^2 d. (23)2×(−35)3×(72)2\left(\frac{2}{3}\right)^2 \times \left(\frac{-3}{5}\right)^3 \times \left(\frac{7}{2}\right)^2 e. {(−34)3−(−52)3}×42\left\{\left(\frac{-3}{4}\right)^3 - \left(\frac{-5}{2}\right)^3\right\} \times 4^2

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