Find the Exact Value (3/2)^3

${(\frac{3}{2})}^{3}$

Step 1

Apply the product rule to $\frac{3}{2}$ .

$\frac{3^{3}}{2^{3}}$

Step 2

Raise $3$ to the power of $3$ .

$\frac{27}{2^{3}}$

Step 3

Raise $2$ to the power of $3$ .

$\frac{27}{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{27}{8}$

Decimal Form:

$3.375$

Mixed Number Form:

$3 \frac{3}{8}$

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