Basic Math Examples

${(\sqrt[6]{y})}^{3} \cdot {(\sqrt[6]{y})}^{3}$

Step 1

Multiply ${(\sqrt[6]{y})}^{3}$ by ${(\sqrt[6]{y})}^{3}$ by adding the exponents.

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Step 1.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

${\sqrt[6]{y}}^{3 + 3}$

Step 1.2

Add $3$ and $3$ .

${\sqrt[6]{y}}^{6}$

Step 2

Rewrite ${\sqrt[6]{y}}^{6}$ as $y$ .

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Step 2.1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[6]{y}$ as $y^{\frac{1}{6}}$ .

${(y^{\frac{1}{6}})}^{6}$

Step 2.2

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

$y^{\frac{1}{6} \cdot 6}$

Step 2.3

Combine $\frac{1}{6}$ and $6$ .

$y^{\frac{6}{6}}$

Step 2.4

Cancel the common factor of $6$ .

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Step 2.4.1

Cancel the common factor.

$y^{\frac{6}{6}}$

Step 2.4.2

Rewrite the expression.

$y^{1}$

Step 2.5

Simplify.

$y$