What is 2(2.87*10^{-10})^6*0.141*10^{-21} ?

The solution to 2(2.87*10^{-10})^6*0.141*10^{-21} is (7.87971E15)/(5.0E13*10^{81)}

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simplify 2(2.8710^{-10})^60.141*10^{-21}

simplify

2 (2.87 \cdot 1 0^{- 10})^{6} \cdot 0.141 \cdot 1 0^{- 21}

\frac{7.87971 E 15}{5.0 E 13 \cdot 1 0 ^{81}}

Decimal Notation

1.57594 E - 79

Solution steps

2 (2.87 \cdot 1 0^{- 10})^{6} \cdot 0.141 \cdot 1 0^{- 21}

Multiply the numbers:

2 \cdot 0.141 = 0.282

= 0.282 (2.87 \cdot 1 0^{- 10})^{6} \cdot 1 0^{- 21}

= 1 0^{- 21} \cdot 0.282 (2.87 \cdot 1 0^{- 10})^{6}

Apply exponent rule:

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

1 0^{- 21} = \frac{1}{1 0 ^{21}}

= \frac{1}{1 0 ^{21}} \cdot 0.282 (2.87 \cdot 1 0^{- 10})^{6}

(2.87 \cdot 1 0^{- 10})^{6} = \frac{5.58845 E 14}{1000000000000 \cdot 1 0 ^{60}}

= \frac{1}{1 0 ^{21}} \cdot 0.282 \cdot \frac{5.58845 E 14}{1000000000000 \cdot 1 0 ^{60}}

\frac{1}{1 0 ^{21}} \cdot 0.282 \cdot \frac{5.58845 E 14}{1000000000000 \cdot 1 0 ^{60}} = \frac{1.57594 E 14}{1 0 ^{81} \cdot 1000000000000}

= \frac{1.57594 E 14}{1 0 ^{81} \cdot 1000000000000}

\frac{1.57594 E 14}{1 0 ^{81} \cdot 1000000000000} = \frac{1.57594 E 16}{1.0 E 14 \cdot 1 0 ^{81}}

= \frac{1.57594 E 16}{1.0 E 14 \cdot 1 0 ^{81}}

Factor the number:

1.57594 E 16 = 2 \cdot 7.87971 E 15

= \frac{2 \cdot 7.87971 E 15}{1.0 E 14 \cdot 1 0 ^{81}}

Factor the number:

1.0 E 14 = 2 \cdot 5.0 E 13

= \frac{2 \cdot 7.87971 E 15}{2 \cdot 5.0 E 13 \cdot 1 0 ^{81}}

Cancel the common factor:

2

= \frac{7.87971 E 15}{5.0 E 13 \cdot 1 0 ^{81}}

5

e^{- 0.066 (1 - 0.75) 60}

(2 a^{3}) (3 a^{6})

e^{- 1.66}

1.01 \cdot 1 0^{- 6}

What is 2(2.87*10^{-10})^6*0.141*10^{-21} ?
The solution to 2(2.87*10^{-10})^6*0.141*10^{-21} is (7.87971E15)/(5.0E13*10^{81)}