en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 100(2)^{-0.05(40)}

Solution

simplify

100 (2)^{- 0.05 (40)}

Solution

25

Solution steps

100 \cdot 2^{- 0.05 (40)}

Apply rule:

(a) = a

(40) = 40

= 100 \cdot 2^{- 0.05 \cdot 40}

Apply exponent rule:

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

2^{- 0.05 \cdot 40} = \frac{1}{2 ^{0.05 \cdot 40}}

= 100 \cdot \frac{1}{2 ^{0.05 \cdot 40}}

2^{0.05 \cdot 40} = 4

= 100 \cdot \frac{1}{4}

100 \cdot \frac{1}{4} = 25

= 25

Popular Examples

simplify-e^{-xy}simplify

- e^{- x y}

simplify 3.15*10^{-8}simplify

3.15 \cdot 1 0^{- 8}

simplify x^2(x-3)^2(x+4)simplify

x^{2} (x - 3)^{2} (x + 4)

simplify (0.31)(3)^{-2}simplify

(0.31) (3)^{- 2}

simplify \sqrt[5]{3}^4 simplify

Frequently Asked Questions (FAQ)

What is 100(2)^{-0.05(40)} ?
The solution to 100(2)^{-0.05(40)} is 25