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Popular >

simplify 1602.2*10^{-16}

Solution

simplify

1602.2 \cdot 1 0^{- 16}

Solution

\frac{8011}{5 ^{17} \cdot 65536}

+1

Solution steps

1602.2 \cdot 1 0^{- 16}

Apply exponent rule:

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

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

= 1602.2 \cdot \frac{1}{1 0 ^{16}}

1602.2 \cdot \frac{1}{1 0 ^{16}} = \frac{1602.2}{1 0 ^{16}}

= \frac{1602.2}{1 0 ^{16}}

\frac{1602.2}{1 0 ^{16}} = \frac{16022}{10 \cdot 1 0 ^{16}}

= \frac{16022}{10 \cdot 1 0 ^{16}}

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

= \frac{16022}{1 0 ^{17}}

Factor the number:

16022 = 2 \cdot 8011

= \frac{2 \cdot 8011}{1 0 ^{17}}

Factor

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

= \frac{2 \cdot 8011}{2 ^{17} \cdot 5 ^{17}}

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

= \frac{8011}{2 ^{16} \cdot 5 ^{17}}

2^{16} = 65536

= \frac{8011}{5 ^{17} \cdot 65536}

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Frequently Asked Questions (FAQ)

What is 1602.2*10^{-16} ?
The solution to 1602.2*10^{-16} is (8011)/(5^{17)*65536}