Rational Exponents Equations

If ${(\sqrt{\frac{7}{5}})}^{3 x - y}$ = $\frac{875}{2401}$ and ${(\frac{4 a}{b})}^{6 x - y}$ = ${(\frac{2 a}{b})}^{y - 6 x},$ for all non-zero real values of a and b, then the value of x + y is

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CAT 2022 Slot-3

Surds and Indices

Medium

Rational Exponents Equations

If ${(\sqrt{\frac{7}{5}})}^{3 x - y}$ = $\frac{875}{2401}$ and ${(\frac{4 a}{b})}^{6 x - y}$ = ${(\frac{2 a}{b})}^{y - 6 x},$ for all non-zero real values of a and b, then the value of x + y is

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