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If (2^3)^2=4^x ,\ then 3^x= (a)3 (...

If `(2^3)^2=4^x ,\ ` then `3^x=`
(a)3
(b) 6
(c) 9
(d) 27

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RD SHARMA ENGLISH-EXPONENTS OF REAL NUMBER-All Questions
  1. If 0 < y < x , which statement must be true? (a) sqrt(x)-\ sqrt(y)=\ ...

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  2. If x is a positive real number and x^2=2, then x^3= (a)sqrt(2) (...

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  3. If (2^3)^2=4^x ,\ then 3^x= (a)3 (b) 6 (c) 9 (d) 27

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  4. If 10^x=64 , what is the value of 10^(x/2+1) ? (a) 18 (b) 42 (c) ...

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  5. If x/(x^(1. 5)\ )=8x^(-1) and x >0, then x= (a)(sqrt(2))/4 (b) 2...

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  6. If g=t^(2/3)+\ 4t^(-1/2) , what is the value of g when t=64 ? ( a)...

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  7. If x^(-2)=64 , then x^(1/3)+\ x^0= (a) 2 (b) 3 (c) 3/2 (d) 2...

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  8. If 4^x-\ 4^(x-1)=24 , then (2x)^x equals (a)5sqrt(5) (b) sqrt(5) ...

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  9. When simplified (-1/(27))^(-2/3) is (a) 9 (b) -9 (c) 1/9 (...

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  10. Which one of the following is not equal to (root(3)8 )^(-1/2)\ ? ( a...

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  11. Which one of the following is not equal to ((100)/9)^(-3/2) ? (a)\ (9/...

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  12. When simplified (256)^-(4^((-3//2)\ )) is (a) 8 (b) 1/8 (c...

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  13. 5 n+2 −6 xx 5 n+1/13 xx 5 n − 2 *5 n+1 is equal to

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  14. If a ,\ b ,\ c are positive real numbers, then sqrt(a^(-1)b)\ xx\ sqrt...

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  15. If (3^(2x-8))/(225)=(5^3)/(5^x) , then x= (a) 2 (b) 3 (c) 5 (d)...

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  16. If (2/3)^x\ \ (3/2)^(2x)=(81)/(16), . then x= (a) 2 (b) 3 (c) 4 ...

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  17. If a ,\ b ,\ c are positive real numbers, then root(5)(3125\ a^(10)b^5...

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  18. The value of 64^(-1/3)\ (64^(1/3)-64^(2/3)), is (a) 1 (b) 1/3 ...

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  19. If sqrt(5^n)=125 , then 5^(root(n)64 )= (a) 25 (b) 1/(125) ...

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  20. If (16)^(2x+3)=(64)^(x+3), then 4^(2x-2)= (a) 64 (b) 256 (c) 3...

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