Basic Math Examples

${(3^{2} - 2^{2})}^{3} + 42 \div 6 \cdot 3^{2} - 9$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

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

${(9 - 2^{2})}^{3} + 42 \div 6 \cdot 3^{2} - 9$

Step 1.1.2

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

${(9 - 1 \cdot 4)}^{3} + 42 \div 6 \cdot 3^{2} - 9$

Step 1.1.3

Multiply $- 1$ by $4$ .

${(9 - 4)}^{3} + 42 \div 6 \cdot 3^{2} - 9$

Step 1.2

Subtract $4$ from $9$ .

$5^{3} + 42 \div 6 \cdot 3^{2} - 9$

Step 1.3

Raise $5$ to the power of $3$ .

$125 + 42 \div 6 \cdot 3^{2} - 9$

Step 1.4

Divide $42$ by $6$ .

$125 + 7 \cdot 3^{2} - 9$

Step 1.5

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

$125 + 7 \cdot 9 - 9$

Step 1.6

Multiply $7$ by $9$ .

$125 + 63 - 9$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Add $125$ and $63$ .

$188 - 9$

Step 2.2

Subtract $9$ from $188$ .

$179$