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If 3^(x-1)=9 and 4^(y+2)=64 , what is th...

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

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RD SHARMA ENGLISH-EXPONENTS OF REAL NUMBER-All Questions
  1. If (x-1)^3=8, what is the value of (x+1)^2\ ?

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

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

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

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

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

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

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

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

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

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  11. The product of the square root of x with the cube root of x is (a) cub...

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  12. if 9^(x+2)=240+9^x , then x= (a)0. 5 (b) 0.2 (c) 0.4 (d) 0.1

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  13. The seventh root of x divided by the eighth root of x is (a)x (b) ...

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  14. The square root of 64 divided by the cube root of 64 is (a)64 (b...

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  15. Which of the following is (are) not equal to {(5/6)^(1/5)}^(-1/6)\ ? ...

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  16. When simplified (x^(-1)+y^(-1))^(-1) is equal to (a)\ x y (b) x+y...

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  17. If 8^(x+1)=64 , what is the value of 3^(2x+1) ? (a)1 (b) 3 (c) 9 ...

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  18. If 0 < y < x , which statement must be true? (a) sqrt(x)-\ sqrt(y)=\ ...

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

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

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