Basic Math Examples

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

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

Step 1

Multiply

4^{2}

$4^{2}$ by

4^{3}

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

Tap for more steps...

Step 1.1

Use the power rule

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

\frac{4^{2 + 3}}{4^{4}}

$\frac{4^{2 + 3}}{4^{4}}$

Step 1.2

Add

2

$2$ and

3

$3$ .

\frac{4^{5}}{4^{4}}

$\frac{4^{5}}{4^{4}}$

\frac{4^{5}}{4^{4}}

$\frac{4^{5}}{4^{4}}$

Step 2

Cancel the common factor of

4^{5}

$4^{5}$ and

4^{4}

$4^{4}$ .

Tap for more steps...

Step 2.1

Factor

4^{4}

$4^{4}$ out of

4^{5}

$4^{5}$ .

\frac{4^{4} \cdot 4}{4^{4}}

$\frac{4^{4} \cdot 4}{4^{4}}$

Step 2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.1

Multiply by

1

$1$ .

\frac{4^{4} \cdot 4}{4^{4} \cdot 1}

$\frac{4^{4} \cdot 4}{4^{4} \cdot 1}$

Step 2.2.2

Cancel the common factor.

$\frac{4^{4} \cdot 4}{4^{4} \cdot 1}$

Step 2.2.3

Rewrite the expression.

$\frac{4}{1}$

Step 2.2.4

Divide

$4$ by

$1$ .

$4$

$4$

$4$

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