Algebra Examples

$12 e^{5} \div 3 e^{3}$

Step 1

Rewrite the division as a fraction.

$\frac{12 e^{5}}{3} e^{3}$

Step 2

Cancel the common factor of $12$ and $3$ .

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Step 2.1

Factor $3$ out of $12 e^{5}$ .

$\frac{3 (4 e^{5})}{3} e^{3}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $3$ out of $3$ .

$\frac{3 (4 e^{5})}{3 (1)} e^{3}$

Step 2.2.2

Cancel the common factor.

$\frac{3 (4 e^{5})}{3 \cdot 1} e^{3}$

Step 2.2.3

Rewrite the expression.

$\frac{4 e^{5}}{1} e^{3}$

Step 2.2.4

Divide $4 e^{5}$ by $1$ .

$4 e^{5} e^{3}$

Step 3

Multiply $e^{5}$ by $e^{3}$ by adding the exponents.

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Step 3.1

Move $e^{3}$ .

$4 (e^{3} e^{5})$

Step 3.2

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

$4 e^{3 + 5}$

Step 3.3

Add $3$ and $5$ .

$4 e^{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$4 e^{8}$

Decimal Form:

$11923.83194816 \dots$