Question

evaluate 32 to the power minus 2 by 5 ÷ 216 to the power minus 2 by 3​

Answer 1

Heya dear user !!!

Here is your answer,

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\frac{4}{ {(216)}^{ \frac{ - 2}{3} } } \: \: + \: \frac{1}{ {(256)}^{ \frac{ - 3}{4} } } \: + \: \frac{2}{ {(243)}^{ \frac{ - 1}{5} } } \\ \\ \\ 4 \times {(216)}^{ \frac{2}{3} } + 1 \times {(256)}^{ \frac{3}{4} } + 2 \times {(243)}^{ \frac{1}{5} } \\ \\ \\ 4 \times {6}^{3 \times \frac{2}{3} } + {4}^{4 \times \frac{3}{4} } + 2 \times {3}^{5 \times \frac{1}{5} } \\ \\ \\ 4 \times {6}^{2} + {4}^{3} + 6 \\ \\ \\ 4 \times 36 + 64 + 6 \\ \\ \\ 214


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Hope it helps.