Find the reciprocal of each of the following-i 384ii -5611iii 67iv -43

We know that the reciprocal of abm is bam. (i) Reciprocal of 384=834 (ii) Reciprocal of 5611= 6511 (iii) Reciprocal of 67 = Reciprocal of 617= 167 (iv) Rec ...

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Standard VII

Mathematics

Reciprocal of a Number

Find the reci...

Question

Find the reciprocal of each of the following:

(i) ${(\frac{3}{8})}^{4}$
(ii) ${(\frac{- 5}{6})}^{11}$
(iii) 6_⁷
(iv) (−4)^₃

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Solution

We know that the reciprocal of ${(\frac{a}{b})}^{m}$ is ${(\frac{b}{a})}^{m}$ .

(i) Reciprocal of ${(\frac{3}{8})}^{4} = {(\frac{8}{3})}^{4}$

(ii) Reciprocal of ${(\frac{- 5}{6})}^{11} = {(\frac{- 6}{5})}^{11}$

(iii) Reciprocal of 6⁷= Reciprocal of ${(\frac{6}{1})}^{7}$ = ${(\frac{1}{6})}^{7}$

(iv) Reciprocal of (− 4)³ = Reciprocal of ${(\frac{- 4}{1})}^{3}$ = ${(\frac{- 1}{4})}^{3}$

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Find the reciprocal of each of the following: (i) 384 (ii) -5611 (iii) 67 (iv) (−4)3

We know that the reciprocal of abm is bam. (i) Reciprocal of 384=834 (ii) Reciprocal of -5611=-6511 (iii) Reciprocal of 67 = Reciprocal of 617= 167 (iv) Reciprocal of (− 4)3 = Reciprocal of -413 = -143

Find the reciprocal of each of the following:

(i) ${(\frac{3}{8})}^{4}$
(ii) ${(\frac{- 5}{6})}^{11}$
(iii) 6_⁷
(iv) (−4)^₃