Basic Math Examples

$\frac{12}{3} \cdot 4^{2} + {(9 - 3)}^{2}$

Step 1

Simplify each term.

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Step 1.1

Divide $12$ by $3$ .

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

Step 1.2

Multiply $4$ by $4^{2}$ by adding the exponents.

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Step 1.2.1

Multiply $4$ by $4^{2}$ .

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Step 1.2.1.1

Raise $4$ to the power of $1$ .

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

Step 1.2.1.2

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

$4^{1 + 2} + {(9 - 3)}^{2}$

Step 1.2.2

Add $1$ and $2$ .

$4^{3} + {(9 - 3)}^{2}$

Step 1.3

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

$64 + {(9 - 3)}^{2}$

Step 1.4

Subtract $3$ from $9$ .

$64 + 6^{2}$

Step 1.5

Raise $6$ to the power of $2$ .

$64 + 36$

Step 2

Add $64$ and $36$ .

$100$