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Exponents with Like Bases

Question 562/...

Question

Question 56

${(\frac{2}{5})}^{3} \div {(\frac{5}{2})}^{3} = 1$

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Solution

False
Here, ${(\frac{2}{5})}^{3} \div {(\frac{5}{2})}^{3} = {(\frac{2}{5})}^{3} \times {(\frac{2}{5})}^{3} = {(\frac{2}{5})}^{3 + 3} = {(\frac{2}{5})}^{6} H e n c e, {(\frac{2}{5})}^{3} \div {(\frac{5}{2})}^{3} \neq 1$

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Exponents with Like Bases

Standard VII Mathematics

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