Basic Math Examples

$\frac{a^{4} \cdot (10 a^{3})}{a^{2}}$

Step 1

Multiply $a^{4}$ by $a^{3}$ by adding the exponents.

Tap for more steps...

Step 1.1

Move $a^{3}$ .

$\frac{a^{3} a^{4} \cdot 10}{a^{2}}$

Step 1.2

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

$\frac{a^{3 + 4} \cdot 10}{a^{2}}$

Step 1.3

Add $3$ and $4$ .

$\frac{a^{7} \cdot 10}{a^{2}}$

Step 2

Cancel the common factor of $a^{7}$ and $a^{2}$ .

Tap for more steps...

Step 2.1

Factor $a^{2}$ out of $a^{7} \cdot 10$ .

$\frac{a^{2} (a^{5} \cdot 10)}{a^{2}}$

Step 2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.1

Multiply by $1$ .

$\frac{a^{2} (a^{5} \cdot 10)}{a^{2} \cdot 1}$

Step 2.2.2

Cancel the common factor.

$\frac{a^{2} (a^{5} \cdot 10)}{a^{2} \cdot 1}$

Step 2.2.3

Rewrite the expression.

$\frac{a^{5} \cdot 10}{1}$

Step 2.2.4

Divide $a^{5} \cdot 10$ by $1$ .

$a^{5} \cdot 10$

Step 3

Move $10$ to the left of $a^{5}$ .

$10 a^{5}$