What is 0.5*1.67*10^{-27}*(9.58*10^6)^2 ?

The solution to 0.5*1.67*10^{-27}*(9.58*10^6)^2 is 10^{12}*(38316647)/(500000*10^{27)}

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simplify 0.51.6710^{-27}(9.5810^6)^2

simplify

0.5 \cdot 1.67 \cdot 1 0^{- 27} \cdot (9.58 \cdot 1 0^{6})^{2}

1 0^{12} \cdot \frac{38316647}{500000 \cdot 1 0 ^{27}}

Decimal Notation

0

Solution steps

0.5 \cdot 1.67 \cdot 1 0^{- 27} (9.58 \cdot 1 0^{6})^{2}

Multiply the numbers:

0.5 \cdot 1.67 = 0.835

= 0.835 \cdot 1 0^{- 27} (9.58 \cdot 1 0^{6})^{2}

= 1 0^{- 27} \cdot 0.835 (9.58 \cdot 1 0^{6})^{2}

Apply exponent rule:

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

1 0^{- 27} = \frac{1}{1 0 ^{27}}

= \frac{1}{1 0 ^{27}} \cdot 0.835 (9.58 \cdot 1 0^{6})^{2}

(9.58 \cdot 1 0^{6})^{2} = 91.7764 \cdot 1 0^{12}

= \frac{1}{1 0 ^{27}} \cdot 0.835 \cdot 91.7764 \cdot 1 0^{12}

Multiply the numbers:

0.835 \cdot 91.7764 = 76.633294

= \frac{1}{1 0 ^{27}} \cdot 76.633294 \cdot 1 0^{12}

= 1 0^{12} \cdot 76.633294 \cdot \frac{1}{1 0 ^{27}}

1 0^{12} \cdot 76.633294 \cdot \frac{1}{1 0 ^{27}} = 1 0^{12} \cdot \frac{76.633294}{1 0 ^{27}}

= 1 0^{12} \cdot \frac{76.633294}{1 0 ^{27}}

\frac{76.633294}{1 0 ^{27}} = \frac{76633294}{1000000 \cdot 1 0 ^{27}}

= 1 0^{12} \cdot \frac{76633294}{1000000 \cdot 1 0 ^{27}}

Cancel

\frac{76633294}{1000000 \cdot 1 0 ^{27}} : \frac{38316647}{500000 \cdot 1 0 ^{27}}

= 1 0^{12} \cdot \frac{38316647}{500000 \cdot 1 0 ^{27}}

10 (\frac{1}{2}) e^{(- 4 (\frac{1}{2}))}

P^{1} (- 4, 7) P^{2} (6, - 2)

2^{\frac{3}{2}} \cdot 3^{\frac{3}{2}}

(3 rs t^{8} u) (10 rs t u^{9})

\frac{e ^{- 3 t}}{e ^{- 4 t}}

What is 0.5*1.67*10^{-27}*(9.58*10^6)^2 ?
The solution to 0.5*1.67*10^{-27}*(9.58*10^6)^2 is 10^{12}*(38316647)/(500000*10^{27)}