Question

simplify the following and express the result in form of positive exponent (1/2)²×((1/2)³)-4÷((1/2)²)-5​

Answer 1

Answer:

${ (\frac{1}{2} )}^{2} \times {( \frac{1}{3} )}^{3} - 4 \div { (\frac{1}{2}) }^{2} - 5 \\ = \frac{1}{4} \times \frac{1}{27} - 4 \div \frac{1}{4} - 5 \\ = \frac{1}{108} - 4 \div \frac{1 - 20}{4} \\ = \frac{1 - 432}{108} \div \frac{ 1 - 20}{4} \\ = \frac{431}{108} \div \frac{19}{4} \\ = \frac{431}{108} \times \frac{4}{19} \\ = \frac{431}{513}$