What is (1.007*10^{-12})(1400) ?

The solution to (1.007*10^{-12})(1400) is (7049)/(5^{13)*4096}

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simplify (1.007*10^{-12})(1400)

simplify

(1.007 \cdot 1 0^{- 12}) (1400)

\frac{7049}{5 ^{13} \cdot 4096}

Decimal Notation

1.4098 E - 9

Solution steps

(1.007 \cdot 1 0^{- 12}) (1400)

Apply rule:

(a) = a

(1400) = 1400

= 1.007 \cdot 1 0^{- 12} \cdot 1400

Multiply the numbers:

1.007 \cdot 1400 = 1409.8

= 1409.8 \cdot 1 0^{- 12}

= 1 0^{- 12} \cdot 1409.8

Apply exponent rule:

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

1 0^{- 12} = \frac{1}{1 0 ^{12}}

= \frac{1}{1 0 ^{12}} \cdot 1409.8

\frac{1}{1 0 ^{12}} \cdot 1409.8 = \frac{1409.8}{1 0 ^{12}}

= \frac{1409.8}{1 0 ^{12}}

\frac{1409.8}{1 0 ^{12}} = \frac{14098}{10 \cdot 1 0 ^{12}}

= \frac{14098}{10 \cdot 1 0 ^{12}}

10 \cdot 1 0^{12} = 1 0^{13}

= \frac{14098}{1 0 ^{13}}

Factor the number:

14098 = 2 \cdot 7049

= \frac{2 \cdot 7049}{1 0 ^{13}}

Factor

1 0^{13} : 2^{13} \cdot 5^{13}

= \frac{2 \cdot 7049}{2 ^{13} \cdot 5 ^{13}}

\frac{2}{2 ^{13}} = \frac{1}{2 ^{12}}

= \frac{7049}{2 ^{12} \cdot 5 ^{13}}

2^{12} = 4096

= \frac{7049}{5 ^{13} \cdot 4096}

4 \cdot e^{- 3}

(x - 5)^{- 1}

- 447 \frac{28}{1 - ( - 447 ) ^{2}}

e^{- t} u (- t)

What is (1.007*10^{-12})(1400) ?
The solution to (1.007*10^{-12})(1400) is (7049)/(5^{13)*4096}