Basic Math Examples

$(6 - 3) \cdot 2^{2 - {(24 \div 3 - 3)}^{2}}$

Step 1

Subtract $3$ from $6$ .

$3 \cdot 2^{2 - {(24 \div 3 - 3)}^{2}}$

Step 2

Simplify each term.

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Step 2.1

Divide $24$ by $3$ .

$3 \cdot 2^{2 - {(8 - 3)}^{2}}$

Step 2.2

Subtract $3$ from $8$ .

$3 \cdot 2^{2 - 5^{2}}$

Step 2.3

Raise $5$ to the power of $2$ .

$3 \cdot 2^{2 - 1 \cdot 25}$

Step 2.4

Multiply $- 1$ by $25$ .

$3 \cdot 2^{2 - 25}$

Step 3

Subtract $25$ from $2$ .

$3 \cdot 2^{- 23}$

Step 4

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$3 \cdot \frac{1}{2^{23}}$

Step 5

Raise $2$ to the power of $23$ .

$3 \cdot \frac{1}{8388608}$

Step 6

Combine $3$ and $\frac{1}{8388608}$ .

$\frac{3}{8388608}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{8388608}$

Decimal Form:

$3.57627868 \cdot 10^{- 7}$