1253 1253 = 753 #160;= #160;7353 #160;= #160;7 #215;7 #215;75 #215;5 #215;5 #160;=343125 there4; 1253 = 343125 ...

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Byju's Answer

Standard VIII

Mathematics

Distributive Property of Rational Numbers

Evaluate 1253...

Question

Evaluate ${(1 \frac{2}{5})}^{3} .$

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Solution

${(1 \frac{2}{5})}^{3}$
${(1 \frac{2}{5})}^{3}$ = ${(\frac{7}{5})}^{3} = \frac{{(7)}^{3}}{{(5)}^{3}} = \frac{(7 \times 7 \times 7)}{(5 \times 5 \times 5)} = \frac{343}{125}$
∴ ${(1 \frac{2}{5})}^{3}$ = $\frac{343}{125}$

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Evaluate 1253.

1253 1253 = 753 = 7353 = 7×7×75×5×5 =343125 ∴ 1253 = 343125

Evaluate ${(1 \frac{2}{5})}^{3} .$

${(1 \frac{2}{5})}^{3}$
${(1 \frac{2}{5})}^{3}$ = ${(\frac{7}{5})}^{3} = \frac{{(7)}^{3}}{{(5)}^{3}} = \frac{(7 \times 7 \times 7)}{(5 \times 5 \times 5)} = \frac{343}{125}$
∴ ${(1 \frac{2}{5})}^{3}$ = $\frac{343}{125}$