Algebra Examples

$n^{0.6}$

Step 1

Change $0.6$ into a fraction.

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Step 1.1

Multiply by $\frac{10}{10}$ to remove the decimal.

$n^{\frac{10 \cdot 0.6}{10}}$

Step 1.2

Multiply $10$ by $0.6$ .

$n^{\frac{6}{10}}$

Step 1.3

Cancel the common factor of $6$ and $10$ .

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Step 1.3.1

Factor $2$ out of $6$ .

$n^{\frac{2 (3)}{10}}$

Step 1.3.2

Cancel the common factors.

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Step 1.3.2.1

Factor $2$ out of $10$ .

$n^{\frac{2 \cdot 3}{2 \cdot 5}}$

Step 1.3.2.2

Cancel the common factor.

$n^{\frac{2 \cdot 3}{2 \cdot 5}}$

Step 1.3.2.3

Rewrite the expression.

$n^{\frac{3}{5}}$

Step 2

Apply the rule $x^{\frac{m}{n}} = \sqrt[n]{x^{m}}$ to rewrite the exponentiation as a radical.

$\sqrt[5]{n^{3}}$