Question

if 5 power x=10 then find the value of 5 power x-2

Answer 1

5^x=10
5^x-2 =5^x/25=10/25 =2/5

Answer 2

$Given \: 5^{x} = 10 \: --(1)$

$Now , \red{ the \: value \:of \: 5^{x-2}}$

$= \frac{5^{x}}{5^{2}}$

/* By Exponential Law */

$\boxed{\pink{ a^{m-n} = \frac{a^{m}}{a^{n}} }}$

$= \frac{10}{25} \: [ From \:(1) ]$

$= \frac{2}{5}$

$= \frac{ 2\times 2 }{5 \times 2 }$

$= \frac{4}{10}$

$= 0.4$

Therefore.,

$\red{The \: value \:of \: 5^{x-2}}$

$\green { = \frac{2}{5} }$

$\green { = 0.4}$

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