Evaluate y=0.5(3/4)^3

$y = 0.5 {(\frac{3}{4})}^{3}$

Simplify the expression.

Apply the product rule to $\frac{3}{4}$ .

$y = 0.5 \frac{3^{3}}{4^{3}}$

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

$y = 0.5 \frac{27}{4^{3}}$

Raise $4$ to the power of $3$ .

$y = 0.5 (\frac{27}{64})$

$y = 0.5 (\frac{27}{64})$

Cancel the common factor of $0.5$ .

Factor $0.5$ out of $64$ .

$y = 0.5 \frac{27}{0.5 (128)}$

Cancel the common factor.

$y = 0.5 \frac{27}{0.5 \cdot 128}$

Rewrite the expression.

$y = \frac{27}{128}$

$y = \frac{27}{128}$

The result can be shown in multiple forms.

Exact Form:

$y = \frac{27}{128}$

Decimal Form:

$y = 0.2109375$

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