Question

find : a. 32 ^3/5 b. 3^1/2*3^1/3​

Answer 1

$a) \: \: {32}^{\frac{3}{5} } = \sqrt[5]{ {(32)}^{3} } = \sqrt[5]{ {(32 \times 32 \times 32)}} = \sqrt[5]{32} \times \sqrt[5]{32} \times \sqrt[5]{32} = 2 \times 2 \times 2 = 8 \\ b) {3}^{ \frac{1}{2} } \times {3}^{ \frac{1}{3} } = \sqrt{{(3)}^{1} } \times \sqrt[3]{ {(3)}^{1} } = 1.732 \times 1.442 = 2.498$

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