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If 1176=2^a xx\ 3^b xx\ 7^c , and a , b\...

If `1176=2^a xx\ 3^b xx\ 7^c ,` and `a , b\ a n d\ c` are natural numbers. find a,b,c.

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RD SHARMA ENGLISH-EXPONENTS OF REAL NUMBER-All Questions
  1. Solve the following equations for x\ : (i)\ 2^(2x)-\ 2^(x+3)+2^4=0 ...

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  2. If 49392=a^4b^2c^3, find the value of a ,\ b\ a n d\ c , where a ,\ b\...

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  3. If 1176=2^a xx\ 3^b xx\ 7^c , and a , b\ a n d\ c are natural numbers...

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  4. Given 4725=3^a5^b7^c , find the integral values of a ,\ b\ a n d\ c t...

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

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

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

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  9. Evaluate each of the following by removing radical signs and negative ...

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  10. Evaluate each of the following by removing radical signs and negative ...

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  11. Simplify each of the following: (i)\ (625)^(-1/4) (ii)\ ((256)/(81)...

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  12. Simplify each of the following: (i)\ ((243)/(32))^(-4/5) (ii)\ (32...

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  13. [{(625)^(-1/4)}^(-1/2)]^2

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

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

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

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  17. Simplify : ((25)^(3/2)*(243)^(3/5))/((16)^(5/4)*(8)^(4/3))

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

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  19. Simplify each of the following by removing radical signs and negative ...

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  20. Simplify each of the following by removing radical signs and negative ...

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