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RD SHARMA-EXPONENTS OF REAL NUMBER-All Questions
- If a\ a n d\ b are distinct positive primes such that root(3)(a^6b^(-4...
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- If a and b are different positive primes such that (i)\ ((a^(-1)\ b^2)...
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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^1,\ 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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- If (x-1)^3=8, what is the value of (x+1)^2\ ?
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- If 2^4\ xx\ 4^2=16^x , then find the value of x ?
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- If 3^(x-1)=9 and 4^(y+2)=64 , what is the value of x/y\ ?
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- Write the value of root(3)(7)\ xx\root(3)( 49)
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- Write (1/9)^(-1/2)\ xx\ (64)^(-1/3) as a rational number.
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- Write the value of root(3)(125)\ xx\ root(3)(27)
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