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Simplify: $(( 30^{\circ}+15^{\circ})\times( \frac{1}{2})^{-3})$.
Given: $(( 30^{\circ}+15^{\circ})\times( \frac{1}{2})^{-3})$.
To do: To simplify: $(( 30^{\circ}+15^{\circ})\times( \frac{1}{2})^{-3})$.
Solution:
$(( 30^{\circ}+15^{\circ})\times( \frac{1}{2})^{-3})$
$=(( 45^{\circ})\times( \frac{1}{\frac{1}{2}})^{ 3})$ [$\because a^{-m}=\frac{1}{a^m}$]
$=45^{\circ}\times2^3$
$=45^{\circ}\times8$
$=360^{\circ}$
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