MCQ
Mark $(\checkmark)$ against the correct answer: $\Big(1\frac{3}{4}\Big)^3=\ ?$
  • A
    $1\frac{27}{64}$
  • B
    $2\frac{27}{64}$
  • $5\frac{23}{64}$
  • D
    None of these.

Answer

Correct option: C.
$5\frac{23}{64}$

$\Big(1\frac{3}{4}\Big)^3=\Big(\frac{7}{4}\Big)^3$
$=\frac{(7)^3}{(4)^3}$
$=\frac{7\times7\times7}{4\times4\times4}$
$=\frac{343}{64}$
$\Big(1\frac{3}{4}\Big)^3=\frac{343}{64}=5\frac{23}{64}$
$\therefore\Big(1\frac{3}{4}\Big)^3=5\frac{23}{64}$

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