Question

find the value of x if
${128}^{x} \div {4}^{x} = {16}^{x}$
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Answer 1

$\Huge{\textbf{\textsf{{\purple{Ans}}{\pink{wer}}{\color{pink}{:}}}}}$

$\frac{ {(128)}^{x} }{ {4}^{x} } = {(16)}^{x} \\ \implies \: \frac{ {2}^{7x} }{ {2}^{2x} } = {2}^{4x} \\ \implies \: {2}^{7x - 2x} = {2}^{4x} \\ \therefore \: 7x - 2x = 4x \\ \implies \: 5x - 4x = 0 \\ \implies \: x = 0$