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Popular >

simplify 4.6*10^{-16}

Solution

simplify

4.6 \cdot 1 0^{- 16}

Solution

\frac{23}{5 ^{17} \cdot 65536}

+1

Decimal Notation

4.6 E - 16

Solution steps

4.6 \cdot 1 0^{- 16}

Apply exponent rule:

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

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

= 4.6 \cdot \frac{1}{1 0 ^{16}}

4.6 \cdot \frac{1}{1 0 ^{16}} = \frac{4.6}{1 0 ^{16}}

= \frac{4.6}{1 0 ^{16}}

\frac{4.6}{1 0 ^{16}} = \frac{46}{10 \cdot 1 0 ^{16}}

= \frac{46}{10 \cdot 1 0 ^{16}}

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

= \frac{46}{1 0 ^{17}}

Factor the number:

46 = 2 \cdot 23

= \frac{2 \cdot 23}{1 0 ^{17}}

Factor

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

= \frac{2 \cdot 23}{2 ^{17} \cdot 5 ^{17}}

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

= \frac{23}{2 ^{16} \cdot 5 ^{17}}

2^{16} = 65536

= \frac{23}{5 ^{17} \cdot 65536}

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Frequently Asked Questions (FAQ)

What is 4.6*10^{-16} ?
The solution to 4.6*10^{-16} is (23)/(5^{17)*65536}