Question

Simplify and express each of the following in the exponential form: 2⁸ × a⁵/ 4³ × a³​

Answer 1

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$\star \rm \: \: \: \dfrac{ {2}^{8} \times {a}^{5} }{ {4}^{3} \times {a}^{3} }$

$\implies \: \dfrac{ {2}^{8} \times {a}^{5 - 3} }{( { {2}^{2} )}^{3} }$

$\implies \rm \: \dfrac{ {2}^{8} \times {a}^{2} }{ {2}^{6} }$

$\implies \rm \: { {2}^{8 - 6} \times {a}^{2} } \\ \\ \implies \: {2}^{2} \times {a}^{2} \\ \\ \implies \pink{4 {a}^{2} }$

Answer 2

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$\star \: \rm \dfrac{ {2}^{8} \times {a}^5 }{ {4}^{3} \times {a}^{3} }$

$\mapsto \: \rm \dfrac{ {2}^{8} \times {a}^{5 - 3} }{ ({ {2}^{2} )}^{3} }$

$\mapsto \: \rm \: \dfrac{ {2}^{8} \times {a}^{2} }{ {2}^{6} }$

$\mapsto \: \rm \: {2}^{2} \times {a}^{2}$

$\mapsto \rm \: \: 4 {a}^{2}$