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If (9^n\ xx\ 3^2\ xx\ (3^(-n/2))^(-2)-\ ...

If `(9^n\ xx\ 3^2\ xx\ (3^(-n/2))^(-2)-\ 27^n)/(3^(3m)\ xx\ 2^3)=1/(27)` , prove that `m-n=1`

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RD SHARMA ENGLISH-EXPONENTS OF REAL NUMBER-All Questions
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  2. Simplify each of the following: (a)\ (7^n-3\ xx\ 7^(n+1))/(20\ xx\ 7^n...

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  3. If (9^n\ xx\ 3^2\ xx\ (3^(-n/2))^(-2)-\ 27^n)/(3^(3m)\ xx\ 2^3)=1/(27)...

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  4. Assuming that x is a positive real number and a ,\ b ,\ c are rational...

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  5. Assuming that x is a positive real number and a ,\ b ,\ c are rational...

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  14. If a ,\ b ,\ c are distinct positive prime integers such that a^2b^3c^...

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  15. Find the value of x , if 5^(x-3)\ 3^(2x-8)=225

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  16. Solve the following equations: (i) 2^(x-5)=256 (ii) 2^(x+3)=4^(x-...

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  18. Solve the equation for x: 2^(2x+1)=17. 2^x-2^3

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  19. Solve the equation for x: 5^(2x+1)=6. 5^x-1

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  20. Simplify the following: 3(a^4b^3)^10xx5(a^2b^2)^3

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