Question

{ (1/2) raised to the power 2 - (1/4) raised to the power 3 } × 2 raised to the power 3​

Answer 1

Step-by-step explanation:

$( { \frac{1}{2} })^{2} - ({ \frac{1}{4} })^{2} \times {2}^{3}$

$= {2}^{ - 2} - {4}^{ - 2} \times {2}^{3}$

$= {2}^{ - 2} - {2}^{ - 4} \times {2}^{3}$

$= {2}^{ - 2} - {2}^{ - 4 + 3}$

$= {2}^{ - 2} - {2}^{ - 1}$

$= \frac{1}{4} - \frac{1}{2}$

$= \frac{1 - 2}{4}$

$= \frac{ - 1}{2}$