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RD SHARMA ENGLISH-EXPONENTS OF REAL NUMBER-All Questions
- If x=2^(1/3)+\ 2^(2/3) show that x^3-6x=6
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- Determine (8x)^x , if 9^(x+2)=240+9^x
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- If 3^(x+1)=9^(x-2), find the value of 2^(1+x)
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- If 3^(4x)=(81)^(-1) and 10^(1/y)=0. 0001 , find the value of 2^(-x+4y)
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- If 5^(3x)=\ 125\ and 10^y=0. 001 find x\ a n d\ y
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- Solve the following equations: (i)\ 3^(x+1)=27\ xx\ 3^4 \ and (ii) (...
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- If a and b are distinct positive primes such that root(3)(a^6b^(-4))...
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- If a\ a n d\ b are different positive primes such that (i)\ ((a^(-1)\ ...
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- If 2^x\ 3^y\ 5^z=2160\ , find x ,\ y\ a n d\ z . Hence, compute the va...
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- If 1176=2^a xx\ 3^bxx\ 7^c , find the values of a ,\ b\ a n d\ c . Hen...
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- Simplify: (i)\ ((x^(a+b))/(x^c))^(a-b)\ ((x^(b+c))/(x^a))^(b-c)\ ((x^...
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- Show that: ((a+1/b)^m xx\ (a-1/b)^n)/((b+1/a)^m\ xx\ (b-1/a)^n)=(a/b)^...
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- If a=x^(m+n)\ y^l,\ b=x^(n+l)\ y^m and c=x^(l+m)y^n , prove that a^(m-...
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- If x=a^(m+n),\ y=a^(n+l) and z=a^(l+m) , prove that x^m y^n z^l=x^n y^...
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- Write (625)^(-1/4) in decimal form
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- State the product law of exponents.
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- State the power law of exponents
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- For any positive real number x , find the value of ((x^a)/(x^b))^(a+b)...
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- Write the value of {5"("8^(-1/2)"}"^(-1/4)}^2
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- For any positive real number x;write the value of {(x^a)^b}^(1/(ab)) {...
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