Question

find the value of n
in each of
the following: 6^n /6^-2=6^3​

Answer 1

The answer is in the attachment

Answer 2

$Given \: \frac{6^{n}}{6^{-2}} = 6^{3}$

$\implies 6^{n+2} = 6^{3}$

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

$\implies n + 2 = 3$

$\boxed { \pink { Since , If \: a^{m}=a^{n} \implies m = n }}$

$\implies n = 3-2$

$\implies n = 1$

Therefore.,

$\red { Value \:of \: n } \green {= 1 }$

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