What is (400*10^{-3})(0.6*10^6)^2 ?

The solution to (400*10^{-3})(0.6*10^6)^2 is 18/125*10^{12}

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simplify (40010^{-3})(0.610^6)^2

simplify

(400 \cdot 1 0^{- 3}) (0.6 \cdot 1 0^{6})^{2}

\frac{18}{125} \cdot 1 0^{12}

Decimal Notation

144000000000

Solution steps

(400 \cdot 1 0^{- 3}) (0.6 \cdot 1 0^{6})^{2}

Simplify

400 \cdot 1 0^{- 3} : \frac{2}{5}

= \frac{2}{5} (0.6 \cdot 1 0^{6})^{2}

Apply exponent rule:

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

(0.6 \cdot 1 0^{6})^{2} = 0. 6^{2} (1 0^{6})^{2}

= \frac{2}{5} \cdot 0. 6^{2} (1 0^{6})^{2}

0. 6^{2} = 0.36

= \frac{2}{5} \cdot 0.36 (1 0^{6})^{2}

Apply exponent rule:

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

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

= \frac{2}{5} \cdot 0.36 \cdot 1 0^{6 \cdot 2}

Multiply the numbers:

6 \cdot 2 = 12

= \frac{2}{5} \cdot 0.36 \cdot 1 0^{12}

0.36 = \frac{9}{25}

= \frac{2}{5} \cdot \frac{9}{25} \cdot 1 0^{12}

\frac{2}{5} \cdot \frac{9}{25} \cdot 1 0^{12} = \frac{18}{125} \cdot 1 0^{12}

= \frac{18}{125} \cdot 1 0^{12}

e^{- 0.0752} [0.5 \cdot 0.6315]

(7.72 \cdot 1 0^{- 2}) (3.17)

\frac{d}{d x} ((t) e^{- t})

(a b^{x}) \cdot (c d^{x})

e^{(r - b) \cdot T} \cdot e^{- r \cdot T}

What is (400*10^{-3})(0.6*10^6)^2 ?
The solution to (400*10^{-3})(0.6*10^6)^2 is 18/125*10^{12}