Basic Math Examples

$\frac{8 y^{7}}{3 t^{4}} \cdot \frac{9 t^{6}}{64 y}$

Step 1

Combine.

$\frac{8 y^{7} (9 t^{6})}{3 t^{4} (64 y)}$

Step 2

Cancel the common factor of $8$ and $64$ .

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Step 2.1

Factor $8$ out of $8 y^{7} (9 t^{6})$ .

$\frac{8 (y^{7} (9 t^{6}))}{3 t^{4} (64 y)}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $8$ out of $3 t^{4} (64 y)$ .

$\frac{8 (y^{7} (9 t^{6}))}{8 (3 t^{4} (8 y))}$

Step 2.2.2

Cancel the common factor.

$\frac{8 (y^{7} (9 t^{6}))}{8 (3 t^{4} (8 y))}$

Step 2.2.3

Rewrite the expression.

$\frac{y^{7} (9 t^{6})}{3 t^{4} (8 y)}$

$\frac{y^{7} (9 t^{6})}{3 t^{4} (8 y)}$

$\frac{y^{7} (9 t^{6})}{3 t^{4} (8 y)}$

Step 3

Cancel the common factor of $y^{7}$ and $y$ .

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Step 3.1

Factor $y$ out of $y^{7} (9 t^{6})$ .

$\frac{y (y^{6} (9 t^{6}))}{3 t^{4} (8 y)}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $y$ out of $3 t^{4} (8 y)$ .

$\frac{y (y^{6} (9 t^{6}))}{y (3 t^{4} \cdot (8))}$

Step 3.2.2

Cancel the common factor.

$\frac{y (y^{6} (9 t^{6}))}{y (3 t^{4} \cdot (8))}$

Step 3.2.3

Rewrite the expression.

$\frac{y^{6} (9 t^{6})}{3 t^{4} \cdot (8)}$

$\frac{y^{6} (9 t^{6})}{3 t^{4} \cdot (8)}$

$\frac{y^{6} (9 t^{6})}{3 t^{4} \cdot (8)}$

Step 4

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

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Step 4.1

Factor $3$ out of $y^{6} (9 t^{6})$ .

$\frac{3 (y^{6} (3 t^{6}))}{3 t^{4} \cdot (8)}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $3$ out of $3 t^{4} \cdot (8)$ .

$\frac{3 (y^{6} (3 t^{6}))}{3 (t^{4} \cdot (8))}$

Step 4.2.2

Cancel the common factor.

$\frac{3 (y^{6} (3 t^{6}))}{3 (t^{4} \cdot (8))}$

Step 4.2.3

Rewrite the expression.

$\frac{y^{6} (3 t^{6})}{t^{4} \cdot (8)}$

$\frac{y^{6} (3 t^{6})}{t^{4} \cdot (8)}$

$\frac{y^{6} (3 t^{6})}{t^{4} \cdot (8)}$

Step 5

Cancel the common factor of $t^{6}$ and $t^{4}$ .

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Step 5.1

Factor $t^{4}$ out of $y^{6} (3 t^{6})$ .

$\frac{t^{4} (y^{6} (3 t^{2}))}{t^{4} \cdot (8)}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $t^{4}$ out of $t^{4} \cdot (8)$ .

$\frac{t^{4} (y^{6} (3 t^{2}))}{t^{4} (8)}$

Step 5.2.2

Cancel the common factor.

$\frac{t^{4} (y^{6} (3 t^{2}))}{t^{4} \cdot 8}$

Step 5.2.3

Rewrite the expression.

$\frac{y^{6} (3 t^{2})}{8}$

$\frac{y^{6} (3 t^{2})}{8}$

$\frac{y^{6} (3 t^{2})}{8}$

Step 6

Move $3$ to the left of $y^{6}$ .

$\frac{3 y^{6} t^{2}}{8}$

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