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यदि `(125)^(2//3)xx(625)^(-1//4)=(5)^(x)` है तो `x` का मान ज्ञात करें।

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यदि `(125)^(2//3)xx(625)^(-1//4)=(5)^(x)` है तो `x` का मान ज्ञात करें।
A. 3
B. 2
C. 0
D. `1`
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Correct Answer - D
`125^(2//3)xx625^(-1//4)=5^(x)`
`5^(3x2//3)xx5^(4x-1//4)=5^(x)`
`5^(2)xx5^(-1)=5^(x)`
`5^(2-1)=5^(x)`
`x=2-1=x=1`
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