Basic Math Examples

$12 y \cdot (\frac{2}{3} \cdot (z y^{4}))$

Step 1

Multiply $y$ by $y^{4}$ by adding the exponents.

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Step 1.1

Move $y^{4}$ .

$12 (y^{4} y) \cdot (\frac{2}{3} \cdot (z))$

Step 1.2

Multiply $y^{4}$ by $y$ .

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Step 1.2.1

Raise $y$ to the power of $1$ .

$12 (y^{4} y^{1}) \cdot (\frac{2}{3} \cdot (z))$

Step 1.2.2

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

$12 y^{4 + 1} \cdot (\frac{2}{3} \cdot (z))$

Step 1.3

Add $4$ and $1$ .

$12 y^{5} \cdot (\frac{2}{3} \cdot (z))$

Step 2

Rewrite using the commutative property of multiplication.

$12 \cdot \frac{2}{3} y^{5} z$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Factor $3$ out of $12$ .

$3 (4) \cdot \frac{2}{3} y^{5} z$

Step 3.2

Cancel the common factor.

$3 \cdot 4 \cdot \frac{2}{3} y^{5} z$

Step 3.3

Rewrite the expression.

$4 \cdot 2 y^{5} z$

Step 4

Multiply $4$ by $2$ .

$8 y^{5} z$