Question

625×(25)^y=125^2y find the value of f
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Answer 1

$Given \: 625 \times (25)^{y} = 125^{2y}$

$\implies 5^{4} \times (5^{2})^{y} = (5^{3})^{2y}$

$\implies 5^{4} \times (5)^{2y} = (5)^{6y}$

$\implies 5^{4+2y} = (5)^{6y}$

$\implies 4 + 2y = 6y$

$\implies 4 = 6y - 2y$

$\implies 4 = 4y$

$\implies 4y = 4$

$\implies y = \frac{4}{4}$

$\implies y = 1$

Therefore.,

$\red{ Value \:of \: y } \green { = 1 }$

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