Simplify: $(( 30^{\circ}+15^{\circ})\times( \frac{1}{2})^{-3})$.

Academic Mathematics NCERT Class 7

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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Updated on: 10-Oct-2022

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