Given:

[tex] \frac{x}{y} = \frac{ - 3}{2} [/tex]

To Find:

[tex] { (\frac{x}{y} )}^{3} [/tex]

Answer:

-27/8

Step-by-step explanation:

[tex] {( \frac{x}{y} )}^{3} \\ = {( \frac{ - 3}{2} )}^{3} \\ = \frac{ - 3 \times - 3 \times - 3}{2 \times 2 \times 2} \\ = \frac{9 \times - 3}{8} \\ = \frac{ - 27}{8} [/tex]

Explanation:

[tex] {x}^{3} = x \times x \times x \\ {y}^{2} = y \times y \\ {x}^{a} = a \: times \: of \: x[/tex]