Question

Find the value of
(1) 64 power 1/3 × 25 power -1/2
(2) 16 power 5/2 - 16 power 1/2 /16 power 5/2​

Answer 1

$1)( {64})^{ \frac{1}{3} } \times ( {25})^{ \frac{ - 1}{2} } \\ = 4 \times \frac{1}{5} \\ = \frac{4}{5} or \frac{ 4}{ - 5}$

$2)( {16})^{ \frac{5}{2} } - \frac{ ({16})^{ \frac{1}{2} } }{ ({16})^{ \frac{5}{2} } } \\ = 1024 - \frac{4}{1024} \\ = \frac{1048576 - 4}{1024} \\ = \frac{1048572}{1024}$

Hope it's helpful to you.

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