Basic Math Examples

$\frac{7 t^{2}}{10 r} \cdot (70 r^{4})$

Step 1

Rewrite using the commutative property of multiplication.

$70 \frac{7 t^{2}}{10 r} r^{4}$

Step 2

Cancel the common factor of $10$ .

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Step 2.1

Factor $10$ out of $70$ .

$10 (7) \frac{7 t^{2}}{10 r} r^{4}$

Step 2.2

Factor $10$ out of $10 r$ .

$10 (7) \frac{7 t^{2}}{10 (r)} r^{4}$

Step 2.3

Cancel the common factor.

$10 \cdot 7 \frac{7 t^{2}}{10 r} r^{4}$

Step 2.4

Rewrite the expression.

$7 \frac{7 t^{2}}{r} r^{4}$

$7 \frac{7 t^{2}}{r} r^{4}$

Step 3

Combine $7$ and $\frac{7 t^{2}}{r}$ .

$\frac{7 (7 t^{2})}{r} r^{4}$

Step 4

Multiply $7$ by $7$ .

$\frac{49 t^{2}}{r} r^{4}$

Step 5

Cancel the common factor of $r$ .

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Step 5.1

Factor $r$ out of $r^{4}$ .

$\frac{49 t^{2}}{r} (r \cdot r^{3})$

Step 5.2

Cancel the common factor.

$\frac{49 t^{2}}{r} (r \cdot r^{3})$

Step 5.3

Rewrite the expression.

$49 t^{2} r^{3}$

$49 t^{2} r^{3}$

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