Find the cube of: -13 8 - Vidyadip

Question

Find the cube of:
$-\frac{13}{8}$

✓

Answer

$\because\Big(-\frac{\text{m}}{\text{n}}\Big)^3=-\frac{\text{m}^3}{\text{n}^3}$
$\therefore\Big(-\frac{13}{8}\Big)^3$
$=-\Big(\frac{13}{8}\Big)^3$
$=-\Big(\frac{13^3}{8^3}\Big)$
$=-\Big(\frac{13\times13\times13}{8\times8\times8}\Big)$
$=-\frac{2197}{512}$

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