Basic Math Examples

${(\frac{1200}{1000})}^{\frac{1}{5}}$

Step 1

Cancel the common factor of

$1200$ and

$1000$ .

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Step 1.1

Factor

$200$ out of

$1200$ .

${(\frac{200 (6)}{1000})}^{\frac{1}{5}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

$200$ out of

$1000$ .

${(\frac{200 \cdot 6}{200 \cdot 5})}^{\frac{1}{5}}$

Step 1.2.2

Cancel the common factor.

${(\frac{200 \cdot 6}{200 \cdot 5})}^{\frac{1}{5}}$

Step 1.2.3

Rewrite the expression.

${(\frac{6}{5})}^{\frac{1}{5}}$

Step 2

Apply the product rule to

$\frac{6}{5}$ .

$\frac{6^{\frac{1}{5}}}{5^{\frac{1}{5}}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{6^{\frac{1}{5}}}{5^{\frac{1}{5}}}$

Decimal Form:

$1.03713728 \dots$