Question

Hey mates, ☺️
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How is this answer possible?
Plz explain it.
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Thnx

Answer 1

$\frac{ {8}^{ - 4} }{ {2}^{ - 4} } \\ = {( \frac{8}{2} )}^{ - 4} \\ = {4}^{ - 4} \\ = \frac{1}{ {4}^{4} } \\ = \frac{1}{ ({ {2}^{2} )}^{4} } \\ = \frac{1}{ {2}^{8} }$

Answer 2

$\frac{ {8}^{ - 4} }{ {2}^{ - 4 } } \\ = {2}^{4} \div {8}^{4 } \\ = \frac{ {2}^{4} }{ { {2}^{3} }^{4} } \\ = {2}^{4} \div {2}^{12} \\ = {2}^{4 - 12} \\ = {2}^{ - 8} \\ = > \frac{1}{ {2}^{8} }$

Hope this helps u.