Basic Math Examples

{(\frac{100}{200})}^{\frac{1}{5}}

${(\frac{100}{200})}^{\frac{1}{5}}$

Step 1

Cancel the common factor of

100

$100$ and

200

$200$ .

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Step 1.1

Factor

100

$100$ out of

100

$100$ .

{(\frac{100 (1)}{200})}^{\frac{1}{5}}

${(\frac{100 (1)}{200})}^{\frac{1}{5}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

100

$100$ out of

200

$200$ .

{(\frac{100 \cdot 1}{100 \cdot 2})}^{\frac{1}{5}}

${(\frac{100 \cdot 1}{100 \cdot 2})}^{\frac{1}{5}}$

Step 1.2.2

Cancel the common factor.

${(\frac{100 \cdot 1}{100 \cdot 2})}^{\frac{1}{5}}$

Step 1.2.3

Rewrite the expression.

${(\frac{1}{2})}^{\frac{1}{5}}$

Step 2

Simplify the expression.

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Step 2.1

Apply the product rule to

$\frac{1}{2}$ .

$\frac{1^{\frac{1}{5}}}{2^{\frac{1}{5}}}$

Step 2.2

One to any power is one.

$\frac{1}{2^{\frac{1}{5}}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2^{\frac{1}{5}}}$

Decimal Form:

$0.87055056 \dots$