Question

Van anyone solve this​

Answer 1

Answer :

$\sf\implies\:6^{2x}\:÷\:6^{-4}\:=\:6^2$

As both the numbers are dividing each other so the powers will minus

Also , as it is with same base we have ,

$\sf\implies\:2x\:-\(-4)\:=\:2$

$\sf\implies\:2x\:=\:2\:-\:4$

$\sf\implies\:2x\:=\:2$

$\sf\implies\:x\:=\:\frac{-2}{2}$

$\sf\implies\:x\:=\:-1$

Verification :

= 2x = -2

$\sf\implies\:\frac{6^{-2}}{6^{-4}}\:=\:36$

Exponents ,

$\sf\implies\:-2\:-\:(-4)$

$\sf\implies\:-2\:+\:4$

$\sf\implies\:2$

So , we have 6² = 6²

Hence verified

Answer 2

Answer:

$\huge\mathcal\red{Hello \: your \: question}$

$\huge\mathcal\green{ {6}^{2x} \div {6}^{ - 4} = 36 }$

$\huge\mathcal\pink{your \: answer}$

$\huge\mathcal\blue{ {6}^{2x - ( - 4)} = {6}^{2} }$

$( \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} )$

$equating \: values \: we \: get \\ 2x + 4 = 2 \\ = 2x = - 2 \\ x = \frac{2}{ - 2} = - 1$

$\huge\mathcal\pink{Hello \: thank \: ans}$