What is 2.16*10^{-13} ?

The solution to 2.16*10^{-13} is (27)/(5^{13)*102400}

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simplify 2.16*10^{-13}

simplify

2.16 \cdot 1 0^{- 13}

\frac{27}{5 ^{13} \cdot 102400}

Decimal Notation

2.16 E - 13

Solution steps

2.16 \cdot 1 0^{- 13}

Apply exponent rule:

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

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

= 2.16 \cdot \frac{1}{1 0 ^{13}}

2.16 \cdot \frac{1}{1 0 ^{13}} = \frac{2.16}{1 0 ^{13}}

= \frac{2.16}{1 0 ^{13}}

\frac{2.16}{1 0 ^{13}} = \frac{216}{100 \cdot 1 0 ^{13}}

= \frac{216}{100 \cdot 1 0 ^{13}}

Factor the number:

216 = 4 \cdot 54

= \frac{4 \cdot 54}{100 \cdot 1 0 ^{13}}

Factor the number:

100 = 4 \cdot 25

= \frac{4 \cdot 54}{4 \cdot 25 \cdot 1 0 ^{13}}

Cancel the common factor:

4

= \frac{54}{25 \cdot 1 0 ^{13}}

Factor the number:

54 = 2 \cdot 27

= \frac{2 \cdot 27}{25 \cdot 1 0 ^{13}}

Factor

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

= \frac{2 \cdot 27}{25 \cdot 2 ^{13} \cdot 5 ^{13}}

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

= \frac{27}{25 \cdot 2 ^{12} \cdot 5 ^{13}}

25 \cdot 2^{12} \cdot 5^{13} = 5^{13} \cdot 102400

= \frac{27}{5 ^{13} \cdot 102400}

e^{- 0.03 \cdot 35} \cdot 0.95

2 x^{2} \cdot (\frac{1}{2} x^{2})

π c m^{2 \circ} 4 c m^{2}

(1.7 X \frac{3}{4}) X^{28}

(4.9 + 7.4) \cdot 9 \cdot 1 0^{- 6}