What is 0.0012(200)^{-3(200)} ?

The solution to 0.0012(200)^{-3(200)} is 3/(2500*200^{600)}

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simplify 0.0012(200)^{-3(200)}

simplify

0.0012 (200)^{- 3 (200)}

\frac{3}{2500 \cdot 20 0 ^{600}}

Solution steps

0.0012 \cdot 20 0^{- 3 (200)}

Apply rule:

(a) = a

(200) = 200

= 0.0012 \cdot 20 0^{- 3 \cdot 200}

Apply exponent rule:

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

20 0^{- 3 \cdot 200} = \frac{1}{20 0 ^{3 \cdot 200}}

= 0.0012 \cdot \frac{1}{20 0 ^{3 \cdot 200}}

Multiply the numbers:

3 \cdot 200 = 600

= 0.0012 \cdot \frac{1}{20 0 ^{600}}

0.0012 \cdot \frac{1}{20 0 ^{600}} = \frac{0.0012}{20 0 ^{600}}

= \frac{0.0012}{20 0 ^{600}}

\frac{0.0012}{20 0 ^{600}} = \frac{12}{10000 \cdot 20 0 ^{600}}

= \frac{12}{10000 \cdot 20 0 ^{600}}

Factor the number:

12 = 4 \cdot 3

= \frac{4 \cdot 3}{10000 \cdot 20 0 ^{600}}

Factor the number:

10000 = 4 \cdot 2500

= \frac{4 \cdot 3}{4 \cdot 2500 \cdot 20 0 ^{600}}

Cancel the common factor:

4

= \frac{3}{2500 \cdot 20 0 ^{600}}

3 (u + v)^{2} (u^{2} - v)^{2}

6.3 \cdot 1 0^{- 3}

10 k^{0.5} l^{0.5}

12 t e^{- 3 (t - 4)} u (t - 4)

What is 0.0012(200)^{-3(200)} ?
The solution to 0.0012(200)^{-3(200)} is 3/(2500*200^{600)}