Basic Math Examples

$\frac{{(4 - 22)}^{4}}{6 + {(6)}^{3}} = d$

Step 1

Rewrite the equation as $d = \frac{{(4 - 22)}^{4}}{6 + 6^{3}}$ .

$d = \frac{{(4 - 22)}^{4}}{6 + 6^{3}}$

Step 2

Simplify $\frac{{(4 - 22)}^{4}}{6 + 6^{3}}$ .

Tap for more steps...

Step 2.1

Simplify the numerator.

Tap for more steps...

Step 2.1.1

Subtract $22$ from $4$ .

$d = \frac{{(- 18)}^{4}}{6 + 6^{3}}$

Step 2.1.2

Raise $- 18$ to the power of $4$ .

$d = \frac{104976}{6 + 6^{3}}$

$d = \frac{104976}{6 + 6^{3}}$

Step 2.2

Simplify the denominator.

Tap for more steps...

Step 2.2.1

Raise $6$ to the power of $3$ .

$d = \frac{104976}{6 + 216}$

Step 2.2.2

Add $6$ and $216$ .

$d = \frac{104976}{222}$

$d = \frac{104976}{222}$

Step 2.3

Cancel the common factor of $104976$ and $222$ .

Tap for more steps...

Step 2.3.1

Factor $6$ out of $104976$ .

$d = \frac{6 (17496)}{222}$

Step 2.3.2

Cancel the common factors.

Tap for more steps...

Step 2.3.2.1

Factor $6$ out of $222$ .

$d = \frac{6 \cdot 17496}{6 \cdot 37}$

Step 2.3.2.2

Cancel the common factor.

$d = \frac{6 \cdot 17496}{6 \cdot 37}$

Step 2.3.2.3

Rewrite the expression.

$d = \frac{17496}{37}$

$d = \frac{17496}{37}$

$d = \frac{17496}{37}$

$d = \frac{17496}{37}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$d = \frac{17496}{37}$

Decimal Form:

$d = 472.\overline{864}$

Mixed Number Form:

$d = 472 \frac{32}{37}$

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