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Popular >

simplify 31.610^{-19}

Solution

simplify

3 \cdot 1.6 \cdot 1 0^{- 19}

Solution

\frac{3}{5 ^{20} \cdot 65536}

+1

Solution steps

3 \cdot 1.6 \cdot 1 0^{- 19}

Multiply the numbers:

3 \cdot 1.6 = 4.8

= 4.8 \cdot 1 0^{- 19}

= 1 0^{- 19} \cdot 4.8

Apply exponent rule:

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

1 0^{- 19} = \frac{1}{1 0 ^{19}}

= \frac{1}{1 0 ^{19}} \cdot 4.8

\frac{1}{1 0 ^{19}} \cdot 4.8 = \frac{4.8}{1 0 ^{19}}

= \frac{4.8}{1 0 ^{19}}

\frac{4.8}{1 0 ^{19}} = \frac{48}{10 \cdot 1 0 ^{19}}

= \frac{48}{10 \cdot 1 0 ^{19}}

10 \cdot 1 0^{19} = 1 0^{20}

= \frac{48}{1 0 ^{20}}

Factor

48 : 2^{4} \cdot 3

= \frac{2 ^{4} \cdot 3}{1 0 ^{20}}

Factor

1 0^{20} : 2^{20} \cdot 5^{20}

= \frac{2 ^{4} \cdot 3}{2 ^{20} \cdot 5 ^{20}}

\frac{2 ^{4}}{2 ^{20}} = \frac{1}{2 ^{16}}

= \frac{3}{2 ^{16} \cdot 5 ^{20}}

2^{16} = 65536

= \frac{3}{5 ^{20} \cdot 65536}

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Frequently Asked Questions (FAQ)

What is 3*1.6*10^{-19} ?
The solution to 3*1.6*10^{-19} is 3/(5^{20)*65536}