Algebra Examples

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

Step 1

Simplify the expression.

Tap for more steps...

Step 1.1

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

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

Step 1.2

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

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

Step 1.3

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

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

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

Step 2

Cancel the common factor of $0.5$ .

Tap for more steps...

Step 2.1

Factor $0.5$ out of $64$ .

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

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

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$y = 0.2109375$

Step 4

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$y = 0.2109375$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$