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Popular >

simplify 2.2*10^{-16}

Solution

simplify

2.2 \cdot 1 0^{- 16}

Solution

\frac{11}{5 ^{17} \cdot 65536}

+1

Decimal Notation

2.2 E - 16

Solution steps

2.2 \cdot 1 0^{- 16}

Apply exponent rule:

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

1 0^{- 16} = \frac{1}{1 0 ^{16}}

= 2.2 \cdot \frac{1}{1 0 ^{16}}

2.2 \cdot \frac{1}{1 0 ^{16}} = \frac{2.2}{1 0 ^{16}}

= \frac{2.2}{1 0 ^{16}}

\frac{2.2}{1 0 ^{16}} = \frac{22}{10 \cdot 1 0 ^{16}}

= \frac{22}{10 \cdot 1 0 ^{16}}

10 \cdot 1 0^{16} = 1 0^{17}

= \frac{22}{1 0 ^{17}}

Factor the number:

22 = 2 \cdot 11

= \frac{2 \cdot 11}{1 0 ^{17}}

Factor

1 0^{17} : 2^{17} \cdot 5^{17}

= \frac{2 \cdot 11}{2 ^{17} \cdot 5 ^{17}}

\frac{2}{2 ^{17}} = \frac{1}{2 ^{16}}

= \frac{11}{2 ^{16} \cdot 5 ^{17}}

2^{16} = 65536

= \frac{11}{5 ^{17} \cdot 65536}

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Frequently Asked Questions (FAQ)

What is 2.2*10^{-16} ?
The solution to 2.2*10^{-16} is (11)/(5^{17)*65536}