Question

Find the value of m for which 5m - 5-3 = 5^5​

Answer 1

Answer:

value of m is 2

Step-by-step explanation:

Answer 2

$\huge{\underline{\underline{\mathrm{\red{Qestion:-}}}}}$

$\sf{Find \: the \: value \: of \: m \: for \: which \: \purple{5 ^{m}  ÷ 5^{-3} = 5^{5} }}$

$\huge{\underline{\underline{\mathrm{\red{Answer:-}}}}}$

$\:$

$\underbrace{ \color{chocolate}{5 ^{m}  ÷ 5^{-3} = 5^{5} }}$

$\:$

$\implies \: \: \sf{5 ^{m - ( - 3)}  = 5^{5} }$

$\:$

$\implies \: \: \sf{5 ^{m + 3}  = 5^{5} }$

Comparing the powers of equal bases, we get,

$\:$

$\implies \: \: \sf{m + 3 = 5}$

$\:$

▶ m = 5 – 3 = 2, i.e., m = 2

$\:$

hope it helps!! :)