Algebra Examples

$11 x^{\frac{1}{7}} - 30 x^{\frac{1}{7}} + 21 x^{\frac{3}{4}} - 9 x^{\frac{3}{4}}$

Step 1

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

$11 \sqrt[7]{x^{1}} - 30 x^{\frac{1}{7}} + 21 x^{\frac{3}{4}} - 9 x^{\frac{3}{4}}$

Step 2

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

$11 \sqrt[7]{x^{1}} - 30 \sqrt[7]{x^{1}} + 21 x^{\frac{3}{4}} - 9 x^{\frac{3}{4}}$

Step 3

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

$11 \sqrt[7]{x^{1}} - 30 \sqrt[7]{x^{1}} + 21 \sqrt[4]{x^{3}} - 9 x^{\frac{3}{4}}$

Step 4

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

$11 \sqrt[7]{x^{1}} - 30 \sqrt[7]{x^{1}} + 21 \sqrt[4]{x^{3}} - 9 \sqrt[4]{x^{3}}$

Step 5

Anything raised to $1$ is the base itself.

$11 \sqrt[7]{x} - 30 \sqrt[7]{x^{1}} + 21 \sqrt[4]{x^{3}} - 9 \sqrt[4]{x^{3}}$

Step 6

Anything raised to $1$ is the base itself.

$11 \sqrt[7]{x} - 30 \sqrt[7]{x} + 21 \sqrt[4]{x^{3}} - 9 \sqrt[4]{x^{3}}$