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Popular >

simplify 3.2*10^{-16}

Solution

simplify

3.2 \cdot 1 0^{- 16}

Solution

\frac{1}{5 ^{17} \cdot 4096}

+1

Decimal Notation

3.2 E - 16

Solution steps

3.2 \cdot 1 0^{- 16}

Apply exponent rule:

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

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

= 3.2 \cdot \frac{1}{1 0 ^{16}}

3.2 \cdot \frac{1}{1 0 ^{16}} = \frac{3.2}{1 0 ^{16}}

= \frac{3.2}{1 0 ^{16}}

\frac{3.2}{1 0 ^{16}} = \frac{32}{10 \cdot 1 0 ^{16}}

= \frac{32}{10 \cdot 1 0 ^{16}}

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

= \frac{32}{1 0 ^{17}}

Factor the number:

32 = 2^{5}

= \frac{2 ^{5}}{1 0 ^{17}}

Factor

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

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

\frac{2 ^{5}}{2 ^{17}} = \frac{1}{2 ^{12}}

= \frac{1}{2 ^{12} \cdot 5 ^{17}}

2^{12} = 4096

= \frac{1}{5 ^{17} \cdot 4096}

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3.5 \cdot 1 0^{- 6}

Frequently Asked Questions (FAQ)

What is 3.2*10^{-16} ?
The solution to 3.2*10^{-16} is 1/(5^{17)*4096}