What is 2^{-5.001}(-5.001) ?

The solution to 2^{-5.001}(-5.001) is -(5001)/(1000*2^{5.001)}

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simplify 2^{-5.001}(-5.001)

simplify

2^{- 5.001} (- 5.001)

- \frac{5001}{1000 \cdot 2 ^{5.001}}

Decimal Notation

- 0.15617 \dots

Solution steps

2^{- 5.001} (- 5.001)

Apply rule:

a (- b) = - ab

2^{- 5.001} (- 5.001) = - 2^{- 5.001} \cdot 5.001

= - 2^{- 5.001} \cdot 5.001

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

2^{- 5.001} = \frac{1}{2 ^{5.001}}

= - \frac{1}{2 ^{5.001}} \cdot 5.001

- \frac{1}{2 ^{5.001}} \cdot 5.001 = - \frac{5.001}{2 ^{5.001}}

= - \frac{5.001}{2 ^{5.001}}

\frac{5.001}{2 ^{5.001}} = \frac{5001}{1000 \cdot 2 ^{5.001}}

= - \frac{5001}{1000 \cdot 2 ^{5.001}}

(6.7 x 1 0^{3}) x (6.7 x 1 0^{3})

4.16 x 1 0^{- 3}

2 (200) (3.57 \cdot 1 0^{- 6})

\frac{0.0 5 ^{2}}{0. 1 ^{2}}

What is 2^{-5.001}(-5.001) ?
The solution to 2^{-5.001}(-5.001) is -(5001)/(1000*2^{5.001)}