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Find the reciprocal of each of the follo...

Find the reciprocal of each of the following:
( i ) `(frac(5)(8))^(4)`
( ii ) `(frac(-5)(6))^(11)`
( iii ) `6^(7)` ( iv ) `(-4)^(3)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `(frac(8)(3))^(4)`
(ii) `(frac(-6)(5))^(11)`
(iii) `(frac(1)(6))^(7)`
(iv) `(frac(-1)(4))^(3)`
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RS AGGARWAL-EXPONENTS -EXERCISE 5A
  1. Write each of the following in power notation: ( i ) frac(5)(7)xxfra...

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  2. Express each of the following in power notation: ( i ) frac(25)(36) ...

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  3. Express each of the following as a rational number: ( i ) (frac(2)(3...

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  4. Express each of the following as a rational number: ( i ) (4)^(-1) ...

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  5. Find the reciprocal of each of the following: ( i ) (frac(5)(8))^(4)...

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  6. Find the value of each of the following: ( i ) 8^(@) ( ii ) (-3)^(...

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  7. Simplify each of the following and express each as a rational number: ...

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  8. Simplify each of the following as a rational number: ( i ) (frac(4)(...

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  9. Express each of the following as a rational number: ( i ) 5^(-3) ( ...

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  10. Simplify: ( i ) [{(frac(-1)(4))^(2)}^(-2)]^(-1) ( ii ) {(frac(-2)...

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  11. By what number should (-5)^(-1) be multiplied so that the product is (...

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  12. By what number should 3^(-3) be multiplied to obtain 4?

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  13. By What number should (-30)^(-1) be divided to get 6^(-1) ?

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  14. Find x such that (frac(3)(5))^(3) xx (frac(3)(5))^(-6)=(frac(3)(5))^(2...

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  15. (3^5xx10^5xx25)/(5^7xx6^5)

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  16. Simplify: frac(16 xx 2^(n+1)-4 xx 2^(n))(16 xx 2^(n+2)-2 xx 2^(n+2)).

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  17. Find the value of n when: ( i ) 5^(2n) xx 5^(3)=5^(9) ( ii ) 8 xx...

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  18. If 2^(n-7) xx 5^(n-4)=1250, find the value of n.

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