What is 0.04(2000)*(1+0.0001(2000))^{-1/2} ?

The solution to 0.04(2000)*(1+0.0001(2000))^{-1/2} is 80(5/6)^{1/2}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 0.04(2000)*(1+0.0001(2000))^{-1/2}

simplify

0.04 (2000) \cdot (1 + 0.0001 (2000))^{- \frac{1}{2}}

80 (\frac{5}{6})^{\frac{1}{2}}

Decimal Notation

73.02967 \dots

Solution steps

0.04 (2000) (1 + 0.0001 (2000))^{- \frac{1}{2}}

Apply rule:

(a) = a

(2000) = 2000

= 0.04 \cdot 2000 (1 + 0.0001 \cdot 2000)^{- \frac{1}{2}}

Multiply the numbers:

0.04 \cdot 2000 = 80

= 80 (1 + 0.0001 \cdot 2000)^{- \frac{1}{2}}

Apply exponent rule:

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

(1 + 0.0001 \cdot 2000)^{- \frac{1}{2}} = \frac{1}{( 1 + 0.0001 \cdot 2000 ) ^{\frac{1}{2}}}

= 80 \cdot \frac{1}{( 1 + 0.0001 \cdot 2000 ) ^{\frac{1}{2}}}

(1 + 0.0001 \cdot 2000)^{\frac{1}{2}} = (\frac{6}{5})^{\frac{1}{2}}

= 80 \cdot \frac{1}{( \frac{6}{5} ) ^{\frac{1}{2}}}

\frac{1}{( \frac{6}{5} ) ^{\frac{1}{2}}} = (\frac{5}{6})^{\frac{1}{2}}

= 80 (\frac{5}{6})^{\frac{1}{2}}

(2 π x) (x (x - 1)^{2})

1.334 \cdot 1 0^{- 9} (\frac{0.3}{0 , 5})

e^{- 0.027}

e^{3 x} \cdot e^{x}

6 e^{- 6 x}

What is 0.04(2000)*(1+0.0001(2000))^{-1/2} ?
The solution to 0.04(2000)*(1+0.0001(2000))^{-1/2} is 80(5/6)^{1/2}