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If a=x y^(p-1),\ b=x y^(q-1) and c=x y^(...

If `a=x y^(p-1),\ b=x y^(q-1)` and `c=x y^(r-1)` , prove that `a^(q-r)b^(r-p)\ c^(p-q)=1`

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RD SHARMA ENGLISH-EXPONENTS OF REAL NUMBER-All Questions
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  2. Given 4725=3^a5^b7^c , find the integral values of a ,\ b\ a n d\ c t...

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  3. If a=x y^(p-1),\ b=x y^(q-1) and c=x y^(r-1) , prove that a^(q-r)b^(r-...

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  4. Find the value of: (8/(27))^(1/3)

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  5. Find the value of : ((32)/(243))^(1/5)

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  6. Find the value of: (1/(64))^(1/6)

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  11. [{(625)^(-1/4)}^(-1/2)]^2

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  12. Simplify: (256)^-(4^(((-3)/2)))

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  13. Simplify: 4/((216)^(-2/3))+1/((256)^(-3/4))+2/((243)^(-1/5))

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  14. Simplify: sqrt(1/4)+(0. 01)^(-1/2)-(27)^(2/3)

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  16. Simplify: ((81)/(16))^(-3/4)*[((25)/9)^(-3/2)-:(5/2)^(-3)]

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  19. Assuming that x , y , z are positive real numbers, simplify each of th...

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