Question

simplify the following​

Answer 1

Answer:

$we \: know \: that \: in \: multiplication \: of \: exponents \: powers \: add \: with \: each \: other$

$so \\ 4 + 5 + 6 = 15$

$the \: answer \: is \: \\ \frac{1}{2} \: to \: the \: power \: 15$

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Answer 2

${( \frac{1}{2} )}^{4} \times { (\frac{1}{2}) }^{5} \times {( \frac{1}{2} )}^{6} \\ \\ \implies \: { (\frac{1}{2} )}^{(4 + 5 + 6)} \\ \\ \implies {( \frac{1}{2}) }^{15} = \frac{1}{32768 } \\ \\ \\ \\ \\ \underline{\boxed{\sf{ {( \frac{1}{2} )}^{4} \times { (\frac{1}{2}) }^{5} \times {( \frac{1}{2} )}^{6} = \frac{1}{32768} }}}$