What is 1/2 (6*10^{-3})(1*10^{-3})^2 ?

The solution to 1/2 (6*10^{-3})(1*10^{-3})^2 is 3/1000000000

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simplify 1/2 (610^{-3})(110^{-3})^2

simplify

\frac{1}{2} (6 \cdot 1 0^{- 3}) (1 \cdot 1 0^{- 3})^{2}

\frac{3}{1000000000}

Decimal Notation

0.000000003

Solution steps

\frac{1}{2} (6 \cdot 1 0^{- 3}) (1 \cdot 1 0^{- 3})^{2}

Simplify

6 \cdot 1 0^{- 3} : \frac{3}{500}

= \frac{1}{2} \cdot \frac{3}{500} (1 \cdot 1 0^{- 3})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(1 \cdot 1 0^{- 3})^{2} = 1^{2} (1 0^{- 3})^{2}

= \frac{1}{2} \cdot \frac{3}{500} \cdot 1^{2} (1 0^{- 3})^{2}

1^{2} = 1

= \frac{1}{2} \cdot \frac{3}{500} \cdot 1 \cdot (1 0^{- 3})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

(1 0^{- 3})^{2} = 1 0^{- 3 \cdot 2}

= \frac{1}{2} \cdot \frac{3}{500} \cdot 1 \cdot 1 0^{- 3 \cdot 2}

Multiply the numbers:

3 \cdot 2 = 6

= \frac{1}{2} \cdot \frac{3}{500} \cdot 1 \cdot 1 0^{- 6}

Apply exponent rule:

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

1 0^{- 6} = \frac{1}{1 0 ^{6}}

= \frac{1}{2} \cdot \frac{3}{500} \cdot 1 \cdot \frac{1}{1 0 ^{6}}

1 0^{6} = 1000000

= \frac{1}{2} \cdot \frac{3}{500} \cdot 1 \cdot \frac{1}{1000000}

Multiply:

1 \cdot \frac{1}{1000000} = \frac{1}{1000000}

= \frac{1}{2} \cdot \frac{3}{500} \cdot \frac{1}{1000000}

\frac{1}{2} \cdot \frac{3}{500} \cdot \frac{1}{1000000} = \frac{3}{1000000000}

= \frac{3}{1000000000}

(e^{- 4})^{- 5}

\frac{2 x}{3} \cdot \frac{3}{2}

x x^{3}

(27 - (212 + 6))^{2}

What is 1/2 (6*10^{-3})(1*10^{-3})^2 ?
The solution to 1/2 (6*10^{-3})(1*10^{-3})^2 is 3/1000000000