Question

$solve \: the \: problem \: please \:$
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Answer 1

$1) \: \: \: {(2})^{4} \times( {2})^{ - 6} \\ \\ = ( {2})^{(4 - 6)} \\ \\ = ({2})^{ - 2} \\ \\ = \frac{1}{ ({2})^{2} }\green{....using \: (a)^{ - n} = \frac{1}{(a)^{n}}} \\ \\ = \frac{1}{(2 \times 2)} \\ \\ = \frac{1}{4} \\ \\ =\boxed{ 0.25 }\\ \\ \\ \\ 2) \: \: \: { ( \frac{5}{6} )}^{3} \times {(\frac{6}{5} )} ^{ - 8} \\ \\ = { (\frac{5}{6} )}^{3} \times {(\frac{5}{6})}^{8} \green{....using \: {(\frac{a}{b})}^{ - n}= {(\frac{b}{a})}^{ n}} \\ \\ = {( \frac{5}{6} )}^{3 + 8} \\ \\ = {( \frac{5}{6} )}^{11} \\ \\ = \frac{{(5)}^{11} }{{(6)}^{11} }\\ \\=\boxed{\frac{48828125}{362797056}}$