Question

explain the mathematics​

Answer 1

Answer:

$32^{ \frac{4}{5} } + {32}^{ \frac{ - 4}{5} } \\ ({2}^{5} ) ^{ \frac{4}{5} } + ({2}^{5} ) ^{ \frac{ - 4}{5} }$

we according to the identity

$( {a}^{m} )^{n} = {a}^{m \times n}$

${2}^{5 \times \frac{4}{5} } + {2}^{5 \times \frac{ - 4}{5} } \\ {2}^{4} + {2}^{ - 4}$

we know

${a}^{ - n} = \frac{1}{ {a}^{n} }$

also,2⁴=16

that is

$16 + \frac{1}{ {2}^{4} } \\ 16 + \frac{1}{16} \\ \frac{256 + 1}{16} \\ \frac{257}{16} \\ 16 \frac{1}{16}$

therefore the correct answer is Option B) 16 ¹/16

Answer 2

Answer:

opttion b is the correct✔ answer