Basic Math Examples

$\frac{3 b y}{4 y^{4}} \cdot \frac{8 y}{9 b}$

Step 1

Combine.

$\frac{3 b y (8 y)}{4 y^{4} (9 b)}$

Step 2

Multiply $y$ by $y$ by adding the exponents.

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Step 2.1

Move $y$ .

$\frac{3 b (y \cdot y) \cdot 8}{4 y^{4} (9 b)}$

Step 2.2

Multiply $y$ by $y$ .

$\frac{3 b y^{2} \cdot 8}{4 y^{4} (9 b)}$

$\frac{3 b y^{2} \cdot 8}{4 y^{4} (9 b)}$

Step 3

Cancel the common factor of $3$ and $9$ .

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Step 3.1

Factor $3$ out of $3 b y^{2} \cdot 8$ .

$\frac{3 (b y^{2} \cdot 8)}{4 y^{4} (9 b)}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $3$ out of $4 y^{4} (9 b)$ .

$\frac{3 (b y^{2} \cdot 8)}{3 (4 y^{4} (3 b))}$

Step 3.2.2

Cancel the common factor.

$\frac{3 (b y^{2} \cdot 8)}{3 (4 y^{4} (3 b))}$

Step 3.2.3

Rewrite the expression.

$\frac{b y^{2} \cdot 8}{4 y^{4} (3 b)}$

$\frac{b y^{2} \cdot 8}{4 y^{4} (3 b)}$

$\frac{b y^{2} \cdot 8}{4 y^{4} (3 b)}$

Step 4

Cancel the common factor of $b$ .

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Step 4.1

Cancel the common factor.

$\frac{b y^{2} \cdot 8}{4 y^{4} (3 b)}$

Step 4.2

Rewrite the expression.

$\frac{y^{2} \cdot 8}{4 y^{4} \cdot (3)}$

$\frac{y^{2} \cdot 8}{4 y^{4} \cdot (3)}$

Step 5

Cancel the common factor of $y^{2}$ and $y^{4}$ .

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Step 5.1

Factor $y^{2}$ out of $y^{2} \cdot 8$ .

$\frac{y^{2} (8)}{4 y^{4} \cdot (3)}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $y^{2}$ out of $4 y^{4} \cdot (3)$ .

$\frac{y^{2} (8)}{y^{2} (4 y^{2} \cdot 3)}$

Step 5.2.2

Cancel the common factor.

$\frac{y^{2} \cdot 8}{y^{2} (4 y^{2} \cdot 3)}$

Step 5.2.3

Rewrite the expression.

$\frac{8}{4 y^{2} \cdot 3}$

$\frac{8}{4 y^{2} \cdot 3}$

$\frac{8}{4 y^{2} \cdot 3}$

Step 6

Cancel the common factor of $8$ and $4$ .

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Step 6.1

Factor $4$ out of $8$ .

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

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $4$ out of $4 y^{2} \cdot 3$ .

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

Step 6.2.2

Cancel the common factor.

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

Step 6.2.3

Rewrite the expression.

$\frac{2}{y^{2} \cdot 3}$

$\frac{2}{y^{2} \cdot 3}$

$\frac{2}{y^{2} \cdot 3}$

Step 7

Move $3$ to the left of $y^{2}$ .

$\frac{2}{3 y^{2}}$

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