Basic Math Examples

${(\sqrt[7]{y - 2})}^{7}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[7]{y - 2}$ as ${(y - 2)}^{\frac{1}{7}}$ .

${({(y - 2)}^{\frac{1}{7}})}^{7}$

Step 2

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

${(y - 2)}^{\frac{1}{7} \cdot 7}$

Step 3

Combine $\frac{1}{7}$ and $7$ .

${(y - 2)}^{\frac{7}{7}}$

Step 4

Cancel the common factor of $7$ .

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Step 4.1

Cancel the common factor.

${(y - 2)}^{\frac{7}{7}}$

Step 4.2

Rewrite the expression.

${(y - 2)}^{1}$

Step 5

Simplify.

$y - 2$