Basic Math Examples

{(\frac{7}{4} - \frac{3}{2})}^{3}

${(\frac{7}{4} - \frac{3}{2})}^{3}$

Step 1

To write

- \frac{3}{2}

$- \frac{3}{2}$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

{(\frac{7}{4} - \frac{3}{2} \cdot \frac{2}{2})}^{3}

${(\frac{7}{4} - \frac{3}{2} \cdot \frac{2}{2})}^{3}$

Step 2

Write each expression with a common denominator of

4

$4$ , by multiplying each by an appropriate factor of

1

$1$ .

Tap for more steps...

Step 2.1

Multiply

\frac{3}{2}

$\frac{3}{2}$ by

\frac{2}{2}

$\frac{2}{2}$ .

{(\frac{7}{4} - \frac{3 \cdot 2}{2 \cdot 2})}^{3}

${(\frac{7}{4} - \frac{3 \cdot 2}{2 \cdot 2})}^{3}$

Step 2.2

Multiply

2

$2$ by

2

$2$ .

{(\frac{7}{4} - \frac{3 \cdot 2}{4})}^{3}

${(\frac{7}{4} - \frac{3 \cdot 2}{4})}^{3}$

{(\frac{7}{4} - \frac{3 \cdot 2}{4})}^{3}

${(\frac{7}{4} - \frac{3 \cdot 2}{4})}^{3}$

Step 3

Combine the numerators over the common denominator.

{(\frac{7 - 3 \cdot 2}{4})}^{3}

${(\frac{7 - 3 \cdot 2}{4})}^{3}$

Step 4

Simplify the numerator.

Tap for more steps...

Step 4.1

Multiply

- 3

$- 3$ by

2

$2$ .

{(\frac{7 - 6}{4})}^{3}

${(\frac{7 - 6}{4})}^{3}$

Step 4.2

Subtract

6

$6$ from

7

$7$ .

{(\frac{1}{4})}^{3}

${(\frac{1}{4})}^{3}$

{(\frac{1}{4})}^{3}

${(\frac{1}{4})}^{3}$

Step 5

Apply the product rule to

\frac{1}{4}

$\frac{1}{4}$ .

\frac{1^{3}}{4^{3}}

$\frac{1^{3}}{4^{3}}$

Step 6

One to any power is one.

\frac{1}{4^{3}}

$\frac{1}{4^{3}}$

Step 7

Raise

4

$4$ to the power of

3

$3$ .

\frac{1}{64}

$\frac{1}{64}$

Step 8

The result can be shown in multiple forms.

Exact Form:

\frac{1}{64}

$\frac{1}{64}$

Decimal Form:

0.015625

$0.015625$