Question

Mark (✓) against the correct answer
${\left(1\frac{3}{4}\right)}^3=?$
(a) $1\frac{27}{64}$
(b) $2\frac{27}{64}$
(c) $5\frac{23}{64}$
(d) none of these

Answer 1

(c) $5\frac{23}{64}$
${\left(1\frac{3}{4}\right)}^3$ = ${\left(\frac{7}{4}\right)}^3=\frac{{\left(7\right)}^3}{{\left(4\right)}^3}=\frac{7\times 7\times 7}{4\times 4\times 4}=\frac{343}{64}$
${\left(1\frac{3}{4}\right)}^3$ = $\frac{343}{64}$ = $5\frac{23}{64}$
∴ ${\left(1\frac{3}{4}\right)}^3$ = $5\frac{23}{64}$