What is 3/2 (1.38*10^{-23})(300) ?

The solution to 3/2 (1.38*10^{-23})(300) is (621)/(10^{23)}

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simplify 3/2 (1.38*10^{-23})(300)

simplify

\frac{3}{2} (1.38 \cdot 1 0^{- 23}) (300)

\frac{621}{1 0 ^{23}}

Decimal Notation

6.21 E - 21

Solution steps

\frac{3}{2} (1.38 \cdot 1 0^{- 23}) (300)

Apply rule:

(a) = a

(300) = 300

= \frac{3}{2} \cdot 1.38 \cdot 1 0^{- 23} \cdot 300

Apply exponent rule:

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

1 0^{- 23} = \frac{1}{1 0 ^{23}}

= \frac{3}{2} \cdot 1.38 \cdot \frac{1}{1 0 ^{23}} \cdot 300

1.38 = \frac{69}{50}

= \frac{3}{2} \cdot \frac{69}{50} \cdot \frac{1}{1 0 ^{23}} \cdot 300

\frac{3}{2} \cdot \frac{69}{50} \cdot \frac{1}{1 0 ^{23}} \cdot 300 = \frac{621}{1 0 ^{23}}

= \frac{621}{1 0 ^{23}}

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(2.8 \cdot 1 0^{4}) \cdot (3 \cdot 1 0^{2})

What is 3/2 (1.38*10^{-23})(300) ?
The solution to 3/2 (1.38*10^{-23})(300) is (621)/(10^{23)}