Question

simplify Exponents and power chapter question.please solve it fast.i will mark as branilest you ​

Answer 1

Answer:

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Step-by-step explanation:

$( \frac{ {2}^{7} }{ {2}^{3} } ) \times {2}^{5}$

we know that through laws of exponents

${a}^{m} \times {a}^{n} \\ = > {a}^{m + n}$

$( \frac{ {2}^{7}\times {2}^{5} }{ {2}^{3} } ) \\ = > \frac{ {2}^{7 + 5} }{ {2}^{3} } \\ = > \frac{ {2}^{12} }{ {2}^{3} }$

we know that

$\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n}$

$= > \frac{ {2}^{12} }{ {2}^{3} } \\ = > {2}^{12 - 3} = {2}^{9} \\ = > 512$