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Evaluate { ((-3)/(2))^(2)} ^(-3)....

Evaluate `{ ((-3)/(2))^(2)} ^(-3).`

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The correct Answer is:
`(64)/(729)`
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MTG IIT JEE FOUNDATION-EXPONENTS AND POWERS-Solved Examples
  1. Find the reciprocal of 3^4

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  2. Find the reciprocal of ((2)/(3))^6

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  3. Evaluate { ((-3)/(2))^(2)} ^(-3).

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  4. Express each of the following as a rational number of the form p/q :...

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  5. Express each of the following as a rational number of the form p/q :...

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  6. Evaluate { ((4)/(3)) ^(-1) -((1)/(4)) ^(-1) } ^(-1)

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  7. Simplify: (i) (2 ^(-1) xx 5 ^(-1)) ^(-1) div 4 ^(-1) (ii) (4 ^(-1)...

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  8. Simplify: (i) (2 ^(-1) xx 5 ^(-1)) ^(-1) div 4 ^(-1) (ii) (4 ^(-1)...

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  9. Show that: 1/(1+x^(b-a)+x^(c-a))+1/(1+x^(a-b)+\ x^(c-b))+1/(1+x^(b-c)+...

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  10. If a^(1//x) = b^(1//y) = c^(1//z) , b^(2) = ac, then find the value of...

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  11. If (2^x)/( 1+ 2^x ) = (1)/(4), then find the value of (8^x)/( 1+ 8^x).

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  12. Arrange in descending order of magnitude root(3)(2) , root(6)(3) , roo...

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  13. Which is greater of the two : 2^(300) or 3^(200) ?

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  14. Solve for y if (((1)/(9))^(2y-1) (0.0081)^(1//2) )/( sqrt(243)) = ((1)...

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  15. By what number should ((1)/(2)) ^(-1) be multiplied so that the produc...

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  16. Find the value of m for 5^(2m) div 5^(-1) = 5^(5).

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  17. Simplify (i) <img class="eeimg trnoresize" alt="\left\{ {{{\lef...

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  18. Simplify : ((-2)/(3))^(-2) xx ((4)/(5))^(-3)

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  19. Simplify : ((3)/(4))^(-4) div ((3)/(2))^(-3)

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  20. Simplify : ((3)/(7))^(-2) xx ((7)/(6))^(-3)

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