Basic Math Examples

${(18 \div 3^{2} + 1)}^{4} - 4^{2}$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Rewrite the division as a fraction.

${(\frac{18}{3^{2}} + 1)}^{4} - 4^{2}$

Step 1.1.2

Raise $3$ to the power of $2$ .

${(\frac{18}{9} + 1)}^{4} - 4^{2}$

Step 1.1.3

Divide $18$ by $9$ .

${(2 + 1)}^{4} - 4^{2}$

${(2 + 1)}^{4} - 4^{2}$

Step 1.2

Add $2$ and $1$ .

$3^{4} - 4^{2}$

Step 1.3

Raise $3$ to the power of $4$ .

$81 - 4^{2}$

Step 1.4

Raise $4$ to the power of $2$ .

$81 - 1 \cdot 16$

Step 1.5

Multiply $- 1$ by $16$ .

$81 - 16$

$81 - 16$

Step 2

Subtract $16$ from $81$ .

$65$

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