Question

(1/5)^-8 multiply by (1/5)^-4= (1/5)^-4x

Answer 1

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Answer 2

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$\sf \: ({ \frac{1}{5} })^{ - 8} \times ({ \frac{1}{5} })^{ - 4} = { { \frac{1}{5} }^{ - 4x} } \\ \\ \sf(5)^{8} \times {(5)}^{ -4} = {(5)}^{4x} \\ \\ \sf \: Since \: the \: bases \: are \: same \: power \: should \: be \: solved: \\ \\ \sf ({5})^{(8 + 4)} = {(5)}^{4x} \\ \sf {(5)}^{12} = {(5)}^{4x} \\ \sf \: 12 = 4x \\ = \cancel\frac{12}{4} \rightarrow3 \\ \sf \: x = 3$

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