Finite Math Examples

$2^{- \frac{6000}{24360}}$

Step 1

Cancel the common factor of $6000$ and $24360$ .

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Step 1.1

Factor $120$ out of $6000$ .

$2^{- \frac{120 (50)}{24360}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $120$ out of $24360$ .

$2^{- \frac{120 \cdot 50}{120 \cdot 203}}$

Step 1.2.2

Cancel the common factor.

$2^{- \frac{120 \cdot 50}{120 \cdot 203}}$

Step 1.2.3

Rewrite the expression.

$2^{- \frac{50}{203}}$

Step 2

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

$\frac{1}{2^{\frac{50}{203}}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2^{\frac{50}{203}}}$

Decimal Form:

$0.84305261 \dots$