Question

5^-2x÷25=125 what will be the answer

Answer 1

$= {5}^{ - 2x} \div 25 = 125 \\ = {5}^{ - 2x} = 3125 \\ = {5}^{ - 2x } = {5}^{5} \\ = - 2x = 5 \\ = x = \frac{ - 5}{2}$

Answer 2

Hello!

$\star \: \bf\small{ANSWER}$ : $\red{\bf\small{x= -2.5}}$

$\star \: \bf\small{EXPLANATION}$ :

$\sf 5^{-2x} \div 25 = 125 \\ \\ \implies \dfrac{\sf 5^{-2x}}{25} = 125 \\ \\ \implies \sf 5^{-2x} = 125\times 25 \\ \\ \implies \sf 5^{-2x} = 3125 \\ \\ \implies \sf 5^{-2x} = 5^{5}$

On comparin' :

$\sf -2x = 5 \implies \sf x = -\dfrac{5}{2} \implies \boxed{\red{\bf{x = -2.5}}}$

Cheers!