What is (-2)(200)^{-3}(0.01) ?

The solution to (-2)(200)^{-3}(0.01) is -1/400000000

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simplify (-2)(200)^{-3}(0.01)

simplify

(- 2) (200)^{- 3} (0.01)

- \frac{1}{400000000}

Decimal Notation

- 0.0000000025

Solution steps

(- 2) \cdot 20 0^{- 3} (0.01)

(- 2) \cdot 20 0^{- 3} (0.01) = - 2 \cdot 20 0^{- 3} \cdot 0.01

= - 2 \cdot 20 0^{- 3} \cdot 0.01

Multiply the numbers:

- 2 \cdot 0.01 = - 0.02

= - 0.02 \cdot 20 0^{- 3}

= - 20 0^{- 3} \cdot 0.02

Apply exponent rule:

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

20 0^{- 3} = \frac{1}{20 0 ^{3}}

= - \frac{1}{20 0 ^{3}} \cdot 0.02

20 0^{3} = 8000000

= - \frac{1}{8000000} \cdot 0.02

0.02 = \frac{1}{50}

= - \frac{1}{8000000} \cdot \frac{1}{50}

- \frac{1}{8000000} \cdot \frac{1}{50} = - \frac{1}{400000000}

= - \frac{1}{400000000}

3 (17)^{6} \cdot (e)^{- \frac{102}{8}}

(0.005 θ^{2}) (0.01 θ)

e^{- (95 - 100)}

- \frac{1}{x} e^{- \frac{1}{3} x}

333

What is (-2)(200)^{-3}(0.01) ?
The solution to (-2)(200)^{-3}(0.01) is -1/400000000