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If a=x^(m+n)\ y^l,\ b=x^(n+l)\ y^m and c...

If `a=x^(m+n)\ y^l,\ b=x^(n+l)\ y^m` and `c=x^(l+m)y^n ,` prove that `a^(m-n)\ b^(n-l)\ c^(l-m\ )=1`

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RD SHARMA ENGLISH-EXPONENTS OF REAL NUMBER-All Questions
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  2. 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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  3. 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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  4. 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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  5. Write (625)^(-1/4) in decimal form

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  6. State the product law of exponents.

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  7. State the power law of exponents

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  8. For any positive real number x , find the value of ((x^a)/(x^b))^(a+b)...

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  9. Write the value of {5"("8^(-1/2)"}"^(-1/4)}^2

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  10. For any positive real number x;write the value of {(x^a)^b}^(1/(ab)) {...

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  11. If (x-1)^3=8, what is the value of (x+1)^2\ ?

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  12. If 2^4\ xx\ 4^2=16^x , then find the value of x ?

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  13. If 3^(x-1)=9 and 4^(y+2)=64 , what is the value of x/y\ ?

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  14. Write the value of root(3)(7)\ xx\root(3)( 49)

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  15. Write (1/9)^(-1/2)\ xx\ (64)^(-1/3) as a rational number.

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  16. Write the value of root(3)(125)\ xx\ root(3)(27)

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  17. The value of {2-3(2-3)^3}^3 is (a)5 (b) 125 (c) 1/5 (d) -12...

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  18. Which one is the correct option (256)^(0. 16)xx(256)^(0. 09)=? a. 4...

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  19. If 10^(2y)=\ 25\ , then 10^(-y) equals (a)-1/5 (b) 1/(50) (c)...

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  20. The value of x-y^(x-y) when x=2 and y=-2 is (a)18 (b) -18\ (c...

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