Algebra Examples

$3 y^{- \frac{4}{3}} \cdot 2 \sqrt[3]{y}$

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$3 \frac{1}{y^{\frac{4}{3}}} \cdot (2 \sqrt[3]{y})$

Step 2

Combine $3$ and $\frac{1}{y^{\frac{4}{3}}}$ .

$\frac{3}{y^{\frac{4}{3}}} \cdot (2 \sqrt[3]{y})$

Step 3

Rewrite using the commutative property of multiplication.

$2 \frac{3}{y^{\frac{4}{3}}} \sqrt[3]{y}$

Step 4

Multiply $2 \frac{3}{y^{\frac{4}{3}}}$ .

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Step 4.1

Combine $2$ and $\frac{3}{y^{\frac{4}{3}}}$ .

$\frac{2 \cdot 3}{y^{\frac{4}{3}}} \sqrt[3]{y}$

Step 4.2

Multiply $2$ by $3$ .

$\frac{6}{y^{\frac{4}{3}}} \sqrt[3]{y}$

Step 5

Combine $\frac{6}{y^{\frac{4}{3}}}$ and $\sqrt[3]{y}$ .

$\frac{6 \sqrt[3]{y}}{y^{\frac{4}{3}}}$