What is (1/2)(2*10^{-10})(1.5) ?

The solution to (1/2)(2*10^{-10})(1.5) is 3/(10^{10)*2}

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simplify (1/2)(2*10^{-10})(1.5)

simplify

(\frac{1}{2}) (2 \cdot 1 0^{- 10}) (1.5)

\frac{3}{1 0 ^{10} \cdot 2}

Decimal Notation

1.5 E - 10

Solution steps

(\frac{1}{2}) (2 \cdot 1 0^{- 10}) (1.5)

1.5 = \frac{3}{2}

= \frac{1}{2} \cdot 2 \cdot 1 0^{- 10} \cdot \frac{3}{2}

Apply exponent rule:

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

1 0^{- 10} = \frac{1}{1 0 ^{10}}

= \frac{1}{2} \cdot 2 \cdot \frac{1}{1 0 ^{10}} \cdot \frac{3}{2}

Convert

2

to fraction

: \frac{2}{1}

= \frac{1}{2} \cdot \frac{2}{1} \cdot \frac{1}{1 0 ^{10}} \cdot \frac{3}{2}

Cross-cancel common factor:

2

= 1 \cdot \frac{1}{1 0 ^{10}} \cdot \frac{3}{2}

Apply rule:

1 \cdot a = a

= \frac{1}{1 0 ^{10}} \cdot \frac{3}{2}

\frac{1}{1 0 ^{10}} \cdot \frac{3}{2} = \frac{3}{1 0 ^{10} \cdot 2}

= \frac{3}{1 0 ^{10} \cdot 2}

\frac{( 1 + c e ^{x} ) ^{2}}{( 1 - c e ^{x} ) ^{2}}

42.86 e^{- 0.01045 (0)}

e^{(- 15.16)}

9.87 \cdot 1 0^{- 4}

e^{- \frac{π \cdot 0.03 \cdot 5 \cdot 3.58}{0.001 \cdot 1.008}}

What is (1/2)(2*10^{-10})(1.5) ?
The solution to (1/2)(2*10^{-10})(1.5) is 3/(10^{10)*2}