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Evaluate : (i)5^(-2) (ii) (-3)^(-2) ...

Evaluate : (i)`5^(-2)` (ii) `(-3)^(-2)` (iii)`(1/4)^(-1)` (iv) `((-1)/2)^(-1)`

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Verified by Experts

(i)`5^(-2)`
`1/5^2`
`1/25`
(ii) `(-3)^(-2)`
`(1/-3)^2`
`1/9`
(iii)`(1/4)^(-1)`
`4^1`
`4`
(iv) `((-1)/2)^(-1)`
`(-2)^1`
`-2`
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RD SHARMA-POWERS-All Questions
  1. If x =(3/2)^2xx\ (2/3)^(-4), find the value of x^(-2)dot

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  2. Write each of the following in exponential form : (i) (3/2)^(-1)xx\...

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  3. Evaluate : (i)5^(-2) (ii) (-3)^(-2) (iii)(1/4)^(-1) (iv) ((-1)/...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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