Question

If a = (4/5) ÷ (8/7) , find a2​

Answer 1

Solution:

$\sf a = \dfrac{4}{5} \div \dfrac{8}{7}$

Now Changing that division sign into multiplication sign later will get reciprocal ✓

$\sf a = \dfrac{4}{5} \times \dfrac{7}{8}$

$\sf{a = \dfrac{ { \cancel4}^{} }{5} \times \dfrac{7}{ { \cancel8}_{2} } }$

$\sf{a = \dfrac{7}{10} }$

Now we have to find a²

$\sf {a}^{2} = { \huge(}{ \dfrac{7}{10}{ \huge)} }^{2}$

$\sf {a}^{2} = \dfrac{ {7}^{2} }{ {10}^{2} }$

$\sf {a}^{2} = \dfrac{49}{100}$

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