What is 0.4(4000+200)^{-0.6} ?

The solution to 0.4(4000+200)^{-0.6} is 2/(5*4200^{0.6)}

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simplify 0.4(4000+200)^{-0.6}

simplify

0.4 (4000 + 200)^{- 0.6}

\frac{2}{5 \cdot 420 0 ^{0.6}}

Decimal Notation

0.00267 \dots

Solution steps

0.4 (4000 + 200)^{- 0.6}

Apply exponent rule:

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

(4000 + 200)^{- 0.6} = \frac{1}{( 4000 + 200 ) ^{0.6}}

= 0.4 \cdot \frac{1}{( 4000 + 200 ) ^{0.6}}

Add the numbers:

4000 + 200 = 4200

= 0.4 \cdot \frac{1}{420 0 ^{0.6}}

0.4 \cdot \frac{1}{420 0 ^{0.6}} = \frac{0.4}{420 0 ^{0.6}}

= \frac{0.4}{420 0 ^{0.6}}

\frac{0.4}{420 0 ^{0.6}} = \frac{4}{10 \cdot 420 0 ^{0.6}}

= \frac{4}{10 \cdot 420 0 ^{0.6}}

Factor the number:

4 = 2 \cdot 2

= \frac{2 \cdot 2}{10 \cdot 420 0 ^{0.6}}

Factor the number:

10 = 2 \cdot 5

= \frac{2 \cdot 2}{2 \cdot 5 \cdot 420 0 ^{0.6}}

Cancel the common factor:

2

= \frac{2}{5 \cdot 420 0 ^{0.6}}

5 \cdot 0.00412 \cdot 2.19 \cdot 1 0^{- 4}

e^{- 1985}

0.666 \cdot e^{(- 2 \cdot 0.15 \cdot 1.4)}

\frac{1042912260 \cdot ( ( 690 - 25 ) ^{2} )}{4} \cdot 1 0^{- 14}

What is 0.4(4000+200)^{-0.6} ?
The solution to 0.4(4000+200)^{-0.6} is 2/(5*4200^{0.6)}