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Express each of the following rational n...

Express each of the following rational numbers with a negative exponent : (i) `(1/4)^3` (ii) `3^5` (iii) `(3/5)^4` `{(3/2)^4}` (v) `{(7/3)^4}^(-3)`

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we have to write given rational number into negative power so,
(i)`(1/4)^3`
`(4/1)^-3`
`(4)^-3`
(ii)
`3^5`
`(1/3)^-5`
`1/3^-5`
(iii)`(3/5)^4`
`(5/3)^-4`
(iv)`(3/2)^4`
`(2/3)^-4`
(v)`{(7/3)^4}^-3`
`(7/3)^(4xx-3)`
`(7/3)^-12`
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RD SHARMA-POWERS-All Questions
  1. Express each of the following as a rational number in the form p/q :...

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  2. Simplify: (i){4^(-1)xx 3^(-1)}^2 (ii) {5^(-1)-:6^(-1)}^3 (iii)(2^(...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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