Question
Find the cube of:
$3\frac{1}{4}$
$3\frac{1}{4}$
✓
Answer
We have:
$3\frac{1}{4}=\frac{13}{4}$
$\because\Big(\frac{\text{m}}{\text{n}}\Big)^3=\frac{\text{m}^3}{\text{n}^3}$
$\therefore\Big(\frac{13}{4}\Big)^3$
$=\frac{13^3}{4^3}$
$=\frac{13\times13\times13}{4\times4\times4}$
$=\frac{2197}{64}$
$3\frac{1}{4}=\frac{13}{4}$
$\because\Big(\frac{\text{m}}{\text{n}}\Big)^3=\frac{\text{m}^3}{\text{n}^3}$
$\therefore\Big(\frac{13}{4}\Big)^3$
$=\frac{13^3}{4^3}$
$=\frac{13\times13\times13}{4\times4\times4}$
$=\frac{2197}{64}$
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