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

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

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Verified by Experts

The correct Answer is:
`(1125)/(256)`
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MTG IIT JEE FOUNDATION-EXPONENTS AND POWERS-Solved Examples
  1. Solve for y if (((1)/(9))^(2y-1) (0.0081)^(1//2) )/( sqrt(243)) = ((1)...

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

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

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

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

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

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

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  8. Write the following numbers in standard form. 0.4579

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  9. Write the following numbers in standard form. 0.000007

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  10. Write the following numbers in standard form. 0.0000021

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  11. Write the following numbers in standard form: 0. 4579 (ii) 0. 000007 ...

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  12. Write the following numbers in standard form: 0. 4579 (ii) 0. 000007 ...

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  13. Write the following numbers in standard form: 0. 4579 (ii) 0. 000007 ...

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  14. Write the following numbers in usual form. 1.785 xx 10^(7)

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  15. Write the following numbers in usual form. 5.1 xx 10^(-7)

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  16. Solve 12^(x) = 144 and find the value of x.

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  17. Evaluate : (13^(2) - 5^(2) )^(3/2)

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  18. (1^(3)+2^(3)+3^(3)+4^(3))^(-3//2)=

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  19. Solve each of the following exponential equations. 6^(x) = 216

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  20. Solve each of the following exponential equations. 6^(x-4) = 1

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