If \( \Large \left(125\right)^{\frac{2}{3}} \times \left(625\right)^{-\frac{1}{4}} = \left(5\right)^{x} \) then the value of x is
Correct Answer: Description for Correct answer:
\( \Large \left(125\right)^{\frac{2}{3}} \times \left(625\right)^{-\frac{1}{4}} = \left(5\right)^{x} \)
\( \Large 5^{3 \times \frac{2}{3}} \times 5^{4x-\frac{1}{4}} =5^{x}\)
\( \Large 5^{2} \times 5^{-1} =5^{x}\)
\( \Large 5^{2-1} =5^{x}\)
\( \Large x=2-1 =x=1 \)
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