What is 8000(1.4)^{-0.2(11.9999)} ?

The solution to 8000(1.4)^{-0.2(11.9999)} is (8000)/(1.4^{2.39998)}

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simplify 8000(1.4)^{-0.2(11.9999)}

simplify

8000 (1.4)^{- 0.2 (11.9999)}

\frac{8000}{1. 4 ^{2.39998}}

Solution steps

8000 \cdot 1. 4^{- 0.2 (11.9999)}

Apply rule:

(a) = a

(11.9999) = 11.9999

= 8000 \cdot 1. 4^{- 0.2 \cdot 11.9999}

Apply exponent rule:

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

1. 4^{- 0.2 \cdot 11.9999} = \frac{1}{1. 4 ^{0.2 \cdot 11.9999}}

= 8000 \cdot \frac{1}{1. 4 ^{0.2 \cdot 11.9999}}

Multiply the numbers:

0.2 \cdot 11.9999 = 2.39998

= 8000 \cdot \frac{1}{1. 4 ^{2.39998}}

8000 \cdot \frac{1}{1. 4 ^{2.39998}} = \frac{8000}{1. 4 ^{2.39998}}

= \frac{8000}{1. 4 ^{2.39998}}

(a^{n} b) (a^{n} b^{2})

((\frac{1}{2})^{4})^{2}^{3}

(8 x^{5}) x b

(e^{\frac{- 1}{x ^{2}}})^{(n)}

What is 8000(1.4)^{-0.2(11.9999)} ?
The solution to 8000(1.4)^{-0.2(11.9999)} is (8000)/(1.4^{2.39998)}