Basic Math Examples

$r = {(\frac{400}{250})}^{\frac{1}{5}}$

Step 1

Cancel the common factor of $400$ and $250$ .

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Step 1.1

Factor $50$ out of $400$ .

$r = {(\frac{50 (8)}{250})}^{\frac{1}{5}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $50$ out of $250$ .

$r = {(\frac{50 \cdot 8}{50 \cdot 5})}^{\frac{1}{5}}$

Step 1.2.2

Cancel the common factor.

$r = {(\frac{50 \cdot 8}{50 \cdot 5})}^{\frac{1}{5}}$

Step 1.2.3

Rewrite the expression.

$r = {(\frac{8}{5})}^{\frac{1}{5}}$

Step 2

Apply the product rule to $\frac{8}{5}$ .

$r = \frac{8^{\frac{1}{5}}}{5^{\frac{1}{5}}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$r = \frac{8^{\frac{1}{5}}}{5^{\frac{1}{5}}}$

Decimal Form:

$r = 1.09856054 \dots$