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