Algebra Examples

$x^{1.4}$

Step 1

Change $1.4$ into a fraction.

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Step 1.1

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

$x^{\frac{10 \cdot 1.4}{10}}$

Step 1.2

Multiply $10$ by $1.4$ .

$x^{\frac{14}{10}}$

Step 1.3

Cancel the common factor of $14$ and $10$ .

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Step 1.3.1

Factor $2$ out of $14$ .

$x^{\frac{2 (7)}{10}}$

Step 1.3.2

Cancel the common factors.

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Step 1.3.2.1

Factor $2$ out of $10$ .

$x^{\frac{2 \cdot 7}{2 \cdot 5}}$

Step 1.3.2.2

Cancel the common factor.

$x^{\frac{2 \cdot 7}{2 \cdot 5}}$

Step 1.3.2.3

Rewrite the expression.

$x^{\frac{7}{5}}$

Step 2

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

$\sqrt[5]{x^{7}}$