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Express each of the following rational n...

Express each of the following rational numbers with a postive exponent : `(3/4)^(-2)` (ii) `(5/4)^(-3)` (iii) `4^3x\ 4^(-9)` `{(4/3)^(-3)}^(-4)` (v) `{(3/2)^4}^(-2)`

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we have to write given rational number into negative power so,
(i)`(3/4)^-2`
`(4/3)`
(ii)`(5/4)^-3`
`(4/5)^3`
(iii)`4^3xx4^-9`
`(4/1)^3xx(4/1)^-9`
`(1/4)^-3xx(1/4)^9`
`(1/16)^-3xx9`
`(1/16)^27`
(iv)`{(4/3)^-3}^-4`
`(4/3)^-3xx-4`
`(4/3)^12`
(v)`{(3/2)^4}^-12`
`(3/2)^4xx-12`
`(3/2)^48`
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RD SHARMA-POWERS-All Questions
  1. Simplify: (i){4^(-1)xx 3^(-1)}^2 (ii) {5^(-1)-:6^(-1)}^3 (iii)(2^(...

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  2. Express each of the following rational numbers with a negative expon...

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  3. Express each of the following rational numbers with a postive expone...

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  4. Simplify: (i) {(1/3)^(-3)-\ (1/2)^(-3)}-:(1/4)^(-3) (ii) (3^2-\ 2^2)...

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  5. Simplify: {(1/3)^-3-(1/2)^-3}(1/4)^(-3) (ii) (3^2-\ 2^2)x\ (2/3)^(-...

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  6. Simplify: {(1/3)^(-3)-\ (1/2)^(-3)}-:(1/4)^(-3) (3^2-\ 2^2)x\ (2/3...

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  7. Simplify: {(1/3)^(-3)-\ (1/2)^(-3)}-:(1/4)^(-3)

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  8. Simplify: {(1/3)^(-3)-\ (1/2)^(-3)}-:(1/4)^(-3)

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  9. Simplify: {(1/2)^(-1)times (-4)^(-1)}^(-1)

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  10. Simplify: [{((-1)/4)^2}^(-2)]^(-1)

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  11. Simplify: {(2/3)^2}^3x\ (1/3)^(-4)x\ 3^(-1)x\ 6^(-1)

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  12. By what number should 5^(-1)be multiplied so that product may be equal...

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  13. By what number should (1/2)^(-1) be multiplied so that product may be ...

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  14. By what number should (15)^(-1) be divided so that the quotient may be...

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  15. By what number should (5/3)^(-2)be multiplied so that the product may ...

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  16. Find x , if (1/4)^(-4)xx\ (1/4)^(-8)=(1/4)^(-4x)

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  17. Find x , if ((-1)/2)^(-19)-:((-1)/2)^8=((-1)/2)^(-2x+1)

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  18. Find x , if (3/2)^(-3)xx\ (3/2)^5=(3/2)^(2x+1)

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  19. Find x, if (2/5)^(-3)xx (2/5)^(15)=(2/5)^(2+3x)

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  20. Find x , if (5/4)^(-x)-:(5/4)^(-4)=(5/4)^5

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