Basic Math Examples

$8750 {(- \frac{1}{5})}^{4}$

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 $- \frac{1}{5}$ .

$8750 ({(- 1)}^{4} {(\frac{1}{5})}^{4})$

Step 1.2

Apply the product rule to $\frac{1}{5}$ .

$8750 ({(- 1)}^{4} \frac{1^{4}}{5^{4}})$

Step 2

Simplify the expression.

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Step 2.1

Raise $- 1$ to the power of $4$ .

$8750 (1 \frac{1^{4}}{5^{4}})$

Step 2.2

Multiply $\frac{1^{4}}{5^{4}}$ by $1$ .

$8750 \frac{1^{4}}{5^{4}}$

Step 2.3

One to any power is one.

$8750 \frac{1}{5^{4}}$

Step 2.4

Raise $5$ to the power of $4$ .

$8750 (\frac{1}{625})$

Step 3

Cancel the common factor of $625$ .

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Step 3.1

Factor $625$ out of $8750$ .

$625 (14) \frac{1}{625}$

Step 3.2

Cancel the common factor.

$625 \cdot 14 \frac{1}{625}$

Step 3.3

Rewrite the expression.

$14$