What is ((8.98e^9)(1.6*10^{-19})(1.6*10^{-19}))/((2*10^{-15))^2} ?

The solution to ((8.98e^9)(1.6*10^{-19})(1.6*10^{-19}))/((2*10^{-15))^2} is 0.00046…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((8.98e^9)(1.610^{-19})(1.610^{-19}))/((2*10^{-15))^2}

simplify

\frac{( 8.98 e ^{9} ) ( 1.6 \cdot 1 0 ^{- 19} ) ( 1.6 \cdot 1 0 ^{- 19} )}{( 2 \cdot 1 0 ^{- 15} ) ^{2}}

0.00046 \dots

Solution steps

\frac{( 8.98 e ^{9} ) ( 1.6 \cdot 1 0 ^{- 19} ) ( 1.6 \cdot 1 0 ^{- 19} )}{( 2 \cdot 1 0 ^{- 15} ) ^{2}}

Remove parentheses:

(a) = a

= \frac{8.98 e ^{9} \cdot 1.6 \cdot 1 0 ^{- 19} \cdot 1.6 \cdot 1 0 ^{- 19}}{( 2 \cdot 1 0 ^{- 15} ) ^{2}}

Multiply the numbers:

8.98 \cdot 1.6 \cdot 1.6 = 22.9888

= \frac{1 0 ^{- 19} \cdot 1 0 ^{- 19} \cdot 22.9888 e ^{9}}{( 1 0 ^{- 15} \cdot 2 ) ^{2}}

Factor

1 0^{- 19} : 2^{- 19} \cdot 5^{- 19}

Factor

(1 0^{- 15} \cdot 2)^{2} : 2^{2} \cdot \frac{1}{1 0 ^{30}}

Factor

1 0^{- 19} : 2^{- 19} \cdot 5^{- 19}

= \frac{2 ^{- 19} \cdot 5 ^{- 19} \cdot 2 ^{- 19} \cdot 5 ^{- 19} \cdot 22.9888 e ^{9}}{2 ^{2} \cdot \frac{1}{1 0 ^{30}}}

22.9888 e^{9} \cdot 2^{- 19} \cdot 5^{- 19} \cdot 2^{- 19} \cdot 5^{- 19} = 22.9888 e^{9} \cdot 5^{- 19} \cdot 2^{- 38} \cdot 5^{- 19}

= \frac{5 ^{- 19} \cdot 5 ^{- 19} \cdot 2 ^{- 38} \cdot 22.9888 e ^{9}}{2 ^{2} \cdot \frac{1}{1 0 ^{30}}}

Cancel

\frac{22.9888 e ^{9} \cdot 5 ^{- 19} \cdot 2 ^{- 38} \cdot 5 ^{- 19}}{2 ^{2} \cdot \frac{1}{1 0 ^{30}}} : \frac{5 ^{- 19} \cdot 5 ^{- 19} \cdot 22.9888 e ^{9}}{2 ^{40} \cdot \frac{1}{1 0 ^{30}}}

= \frac{5 ^{- 19} \cdot 5 ^{- 19} \cdot 22.9888 e ^{9}}{2 ^{40} \cdot \frac{1}{1 0 ^{30}}}

Multiply

5^{- 19} \cdot 5^{- 19} \cdot 22.9888 e^{9} : 5.12043 E - 22

= \frac{5.12043 E - 22}{2 ^{40} \cdot \frac{1}{1 0 ^{30}}}

Convert element to a decimal form

2^{40} = 1099511627776

= \frac{5.12043 E - 22}{1099511627776 \cdot \frac{1}{1 0 ^{30}}}

Convert element to a decimal form

1 0^{30} = 1.0 E 30

= \frac{5.12043 E - 22}{1099511627776 \cdot \frac{1}{1.0 E 30}}

Divide the numbers:

\frac{1}{1.0 E 30} = 1.0 E - 30

= \frac{5.12043 E - 22}{1099511627776 \cdot 1.0 E - 30}

Multiply the numbers:

1099511627776 \cdot 1.0 E - 30 = 1.09951 E - 18

= \frac{5.12043 E - 22}{1.09951 E - 18}

Divide the numbers:

\frac{5.12043 E - 22}{1.09951 E - 18} = 0.00046 \dots

= 0.00046 \dots

(1 - i)^{12}

12 p \leq 24

x^{3} + 1

5 x^{2} + 2 x + 8 < 0

y^{2} - 74 y + 73

What is ((8.98e^9)(1.6*10^{-19})(1.6*10^{-19}))/((2*10^{-15))^2} ?
The solution to ((8.98e^9)(1.6*10^{-19})(1.6*10^{-19}))/((2*10^{-15))^2} is 0.00046…