Finite Math Examples

$\frac{2^{- 9}}{2^{- 5}}$

Step 1

Move $2^{- 9}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{2^{- 5} \cdot 2^{9}}$

Step 2

Multiply $2^{- 5}$ by $2^{9}$ by adding the exponents.

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Step 2.1

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

$\frac{1}{2^{- 5 + 9}}$

Step 2.2

Add $- 5$ and $9$ .

$\frac{1}{2^{4}}$

Step 3

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

$\frac{1}{16}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{16}$

Decimal Form:

$0.0625$