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RD SHARMA-EXPONENTS OF REAL NUMBER-All Questions
- Prove that: (a+b+c)/(a^(-1)\ b^(-1)+b^(-1)\ c^(-1)+c^(-1)a^(-1))=abc
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- Prove that: (a^(-1)+b^(-1))^(-1)=(ab)/(a+b)
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- If a b c=1,\ show that 1/(1+a+b^(-1))+1/(1+b+c)+1/(1+c+a^(-1))=1
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- Simplify the following: (i)\ (3^n\ xx\ 9^(n+1))/(3^(n-1)\ xx\ 9^(n-1))...
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- Simplify the following: (i)\ (5^(n+3)-\ 6\ xx\ 5^(n+1))/(9\ xx\ 5^n-2^...
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- Solve the following equations for x (i)7^(2x+3)=1 (ii)2^(x+1)=4^x (...
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- Solve the following equations for x\ : (i)\ 4^(2x)=1/(32)\ (ii)4^(x-1...
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- Solve the following equations for x\ : (i)\ 2^(2x)-\ 2^(x+3)+2^4=0 ...
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- If 49392=a^4b^2c^3, find the value of a ,\ b\ a n d\ c , where a ,\ b\...
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- If 1176=2^a xx\ 3^b xx\ 7^c , and a , b\ a n d\ c are natural numbers...
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- Given 4725=3^a5^b7^c , find the integral values of a ,\ b\ a n d\ c t...
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- 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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- Find the value of: (8/(27))^(1/3)
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- Find the value of : ((32)/(243))^(1/5)
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- Find the value of: (1/(64))^(1/6)
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- Evaluate each of the following (i) (64)^(1/3) (ii)(125)^((-1)/3) (ii...
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- Evaluate each of the following by removing radical signs and negative ...
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- Simplify each of the following: (i)\ (625)^(-1/4) (ii)\ ((256)/(81))^(...
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- Simplify each of the following: (i)\ ((243)/(32))^(-4/5) (ii)\ (32...
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- [{(625)^(-1/4)}^(-1/2)]^2
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