Question

Question 2(ii)
Simplify and express the result in power notation with positive exponent:

${\left(\frac{1}{2^3}\right)}^2$

Answer 1

${\left(\frac{1}{2^3}\right)}^2=\frac{1^2}{(2^3{)}^2}[\because {\left(\frac{a}{b}\right)}^m=\frac{a^m}{a^n}]=\frac{1}{2^{3\times 2}}[\because (a^m{)}^n=a^{m\times n}]=\frac{1}{2^6}$