Basic Math Examples

$\frac{18 z^{7} y z}{6 \cdot y}$

Step 1

Multiply $z^{7}$ by $z$ by adding the exponents.

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Step 1.1

Move $z$ .

$\frac{18 (z \cdot z^{7}) y}{6 \cdot y}$

Step 1.2

Multiply $z$ by $z^{7}$ .

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Step 1.2.1

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

$\frac{18 (z^{1} z^{7}) y}{6 \cdot y}$

Step 1.2.2

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

$\frac{18 z^{1 + 7} y}{6 \cdot y}$

$\frac{18 z^{1 + 7} y}{6 \cdot y}$

Step 1.3

Add $1$ and $7$ .

$\frac{18 z^{8} y}{6 \cdot y}$

$\frac{18 z^{8} y}{6 \cdot y}$

Step 2

Cancel the common factor of $18$ and $6$ .

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Step 2.1

Factor $6$ out of $18 z^{8} y$ .

$\frac{6 (3 z^{8} y)}{6 \cdot y}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $6$ out of $6 \cdot y$ .

$\frac{6 (3 z^{8} y)}{6 (y)}$

Step 2.2.2

Cancel the common factor.

$\frac{6 (3 z^{8} y)}{6 y}$

Step 2.2.3

Rewrite the expression.

$\frac{3 z^{8} y}{y}$

$\frac{3 z^{8} y}{y}$

$\frac{3 z^{8} y}{y}$

Step 3

Cancel the common factor of $y$ .

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Step 3.1

Cancel the common factor.

$\frac{3 z^{8} y}{y}$

Step 3.2

Divide $3 z^{8}$ by $1$ .

$3 z^{8}$

$3 z^{8}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$