Basic Math Examples

- {(- \frac{3}{8})}^{2}

$- {(- \frac{3}{8})}^{2}$

Step 1

Use the power rule

${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

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Step 1.1

Apply the product rule to

$- \frac{3}{8}$ .

$- ({(- 1)}^{2} {(\frac{3}{8})}^{2})$

Step 1.2

Apply the product rule to

$\frac{3}{8}$ .

$- ({(- 1)}^{2} \frac{3^{2}}{8^{2}})$

Step 2

Multiply

$- 1$ by

${(- 1)}^{2}$ by adding the exponents.

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Step 2.1

Move

${(- 1)}^{2}$ .

${(- 1)}^{2} \cdot - 1 \frac{3^{2}}{8^{2}}$

Step 2.2

Multiply

${(- 1)}^{2}$ by

$- 1$ .

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Step 2.2.1

Raise

$- 1$ to the power of

$1$ .

${(- 1)}^{2} \cdot {(- 1)}^{1} \frac{3^{2}}{8^{2}}$

Step 2.2.2

Use the power rule

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

${(- 1)}^{2 + 1} \frac{3^{2}}{8^{2}}$

Step 2.3

Add

$2$ and

$1$ .

${(- 1)}^{3} \frac{3^{2}}{8^{2}}$

Step 3

Raise

$- 1$ to the power of

$3$ .

$- \frac{3^{2}}{8^{2}}$

Step 4

Raise

$3$ to the power of

$2$ .

$- \frac{9}{8^{2}}$

Step 5

Raise

$8$ to the power of

$2$ .

$- \frac{9}{64}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{9}{64}$

Decimal Form:

$- 0.140625$