Evaluate (1/47)/(2^47)-2

$\frac{\frac{1}{47}}{2^{47}} - 2$

Simplify each term.

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Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{47} \cdot \frac{1}{2^{47}} - 2$

Raise $2$ to the power of $47$ .

$\frac{1}{47} \cdot \frac{1}{140737488355328} - 2$

Multiply $\frac{1}{47} \cdot \frac{1}{140737488355328}$ .

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Multiply $\frac{1}{47}$ and $\frac{1}{140737488355328}$ .

$\frac{1}{47 \cdot 140737488355328} - 2$

Multiply $47$ by $140737488355328$ .

$\frac{1}{6614661952700416} - 2$

To write $- 2$ as a fraction with a common denominator, multiply by $\frac{6614661952700416}{6614661952700416}$ .

$\frac{1}{6614661952700416} - 2 \cdot \frac{6614661952700416}{6614661952700416}$

Combine $- 2$ and $\frac{6614661952700416}{6614661952700416}$ .

$\frac{1}{6614661952700416} + \frac{- 2 \cdot 6614661952700416}{6614661952700416}$

Combine the numerators over the common denominator.

$\frac{1 - 2 \cdot 6614661952700416}{6614661952700416}$

Simplify the numerator.

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Multiply $- 2$ by $6614661952700416$ .

$\frac{1 - 13229323905400832}{6614661952700416}$

Subtract $13229323905400832$ from $1$ .

$\frac{- 13229323905400831}{6614661952700416}$

Move the negative in front of the fraction.

$- \frac{13229323905400831}{6614661952700416}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{13229323905400831}{6614661952700416}$

Decimal Form:

$- 2$

Evaluate (1/47)/(2^47)-2

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