Question

${ \bold{If} \: \huge\mathfrak \red{\: {5}^{n + 2} = 625}} \\ \bold{ \: \: \: then \: the \: value \: of} \\ \huge\mathfrak \purple{ {(n + 3)}^{1/ 3} \: } \bold {is}$

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Answer 1

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• ${ \bold{If} \: \huge\mathfrak \red{\: {5}^{n + 2} = 625}} \\ \bold{ \: \: \: then \: the \: value \: of} \\ \huge\mathfrak \purple{ {(n + 3)}^{1/ 3} \: } \bold {is}$

$\huge{\mathfrak{\blue{❥{\pink{\underline\green{ᴀ᭄ɴsᴡᴇʀ}}}}}}{\red{\:\star}}$

${5}^{ \frac{1}{3} } = {5}^{ {3}^{ - 1} } = {5}^{ \sqrt{3} } = \sqrt[ \sqrt{3} ]{5}$

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$\large\mathbb\fcolorbox{lime}{black}{\blue{\underline\pink{THANK \ YOU }}}$

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Answer 2

Answer:

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Step-by-step explanation:

${5}^{n + 2} = 625$

${5}^{n + 2} = {5}^{4}$

$n + 2 = 4$

$n = 4 - 2 = 2$

$n = 2$

${5}^{n + 2} = (2 + 3)^{ \frac{1}{3} }$

$= 5 ⅓$