Question

10. Simply with the help of exponential notation :
(i) $(2^2\times 3^3{)}^2$
(ii) ${\left(\frac{15}{16}\right)}^3÷{\left(\frac{9}{8}\right)}^2$

Answer 1

(i)$⟹(2^2{)}^2\times (3^3{)}^2$ $\because (a^m{)}^n=a^{mn}$

$=2^4\times 3^6=11664$

(ii)$⟹\frac{5^3\times 3^3}{(2^4{)}^3}\times \frac{(2^3{)}^2}{(3^2{)}^2}$

$=\frac{5^3}{3\times 2^6}=0.6510$