Question

a power 4 + 1 by a powerful schools 247 a cube + 1 by a cube is equals to how much

Answer 1

HELLO DEAR,

we know that:-

\frac{1}{ {a}^{m} } = {a}^{ - m} ====== (1)

\frac{1}{32} = \frac{1}{ {2}^{5} } \\ = > {2}^{ - 5} .............using(1) \\ = > \frac{1}{32}= ( {2}^{ - 5} )= = = = = = = (2)

( \sqrt[3]{{4}})^{(2x + \frac{1}{2})} = {4}^{ \frac{1}{3} ( \frac{4x + 1}{2} ) } \\ = > {2}^{ 2 \times ( \frac{4x + 1}{6 } ) } = {2}^{( \frac{4x + 1}{3}) } = = = = = (3)

according to questions

( \sqrt[3]{{4}})^{(2x + \frac{1}{2})} = \frac{1}{32} \\ \\ USING --(2) AND--(3) \\ \\ = > {2}^{( \frac{4x + 1}{3}) } = {2}^{ - 5} \\ \\ = > \frac{4x + 1}{3} = - 5 \\ = > 4x + 1 = - 15 \\ = > 4x = - 15 - 1 \\ = > 4x = - 16 \\ \\ = > x = \frac{ - 16}{4} \\ = > x = - 4

I HOPE ITS HELP YOU DEAR,

THANKS

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