Express each of the following as a rational number of the form pq-i 372ii 793iii -234

We have (i) 372 #160;=37 #215;37=949 (ii) 793 #160;=79 #215;79 #215;79= #160;343729 (iii) 234 #160;= #160; 23 #215; 23 #215; 23 #215; 2 ...

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Standard VII

Mathematics

Properties of Multiplication of Integers

Express each ...

Question

Express each of the following as a rational number of the form $\frac{p}{q}$ :
(i) ${(\frac{3}{7})}^{2}$
(ii) ${(\frac{7}{9})}^{3}$
(iii) ${(\frac{- 2}{3})}^{4}$

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Solution

We have

(i) ${(\frac{3}{7})}^{2} = \frac{3}{7} \times \frac{3}{7} = \frac{9}{49}$
(ii) ${(\frac{7}{9})}^{3} = \frac{7}{9} \times \frac{7}{9} \times \frac{7}{9} = \frac{343}{729}$

(iii) ${(\frac{- 2}{3})}^{4} = \frac{- 2}{3} \times \frac{- 2}{3} \times \frac{- 2}{3} \times \frac{- 2}{3} = \frac{16}{81}$

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Express each of the following as a rational number of the form pq: (i) 372 (ii) 793 (iii) -234

We have (i) 372 =37×37=949 (ii) 793 =79×79×79= 343729 (iii) -234 = -23×-23×-23×-23=1681

Express each of the following as a rational number of the form $\frac{p}{q}$ :
(i) ${(\frac{3}{7})}^{2}$
(ii) ${(\frac{7}{9})}^{3}$
(iii) ${(\frac{- 2}{3})}^{4}$