Question

(2/5)^3 * (5/2)^4 * 10​

Answer 1

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To evaluate :-

$\large\bold\red{ {( \frac{2}{5}) }^{3} \times {( \frac{5}{2} )}^{4} \times 10}$

Formula used :-

${x}^{m} \times {x}^{n} = {x}^{m + n}$

${x}^{m} \div {x}^{n} = {x}^{m - n}$

Solution:-

${( \frac{2}{5} )}^{3} \times {( \frac{5}{2} )}^{4} \times 10 \\ = \frac{ {2}^{3} }{ {5}^{3} } \times \frac{ {5}^{4} }{ {2}^{4} } \times 5 \times 2 \\ = {2}^{3 + 1 - 4} \times {5}^{4 + 1 - 3} \\ = {2}^{0} \times {5}^{2} \\ = 1 \times 25 \\ = 25$

$\huge \fcolorbox{black}{cyan}{♛Hope it helps U♛}$

Answer 2

Answer:

hey this is correct

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