Finite Math Examples

${(\frac{1}{2})}^{12} {(\frac{1}{2})}^{15 - 12}$

Step 1

Multiply ${(\frac{1}{2})}^{12}$ by ${(\frac{1}{2})}^{15 - 12}$ by adding the exponents.

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Step 1.1

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

${(\frac{1}{2})}^{12 + 15 - 12}$

Step 1.2

Subtract $12$ from $15$ .

${(\frac{1}{2})}^{12 + 3}$

Step 1.3

Add $12$ and $3$ .

${(\frac{1}{2})}^{15}$

Step 2

Apply the product rule to $\frac{1}{2}$ .

$\frac{1^{15}}{2^{15}}$

Step 3

One to any power is one.

$\frac{1}{2^{15}}$

Step 4

Raise $2$ to the power of $15$ .

$\frac{1}{32768}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{32768}$

Decimal Form:

$3.05175781 \cdot 10^{- 5}$