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Popular >

simplify 1.610^{-19}6

Solution

simplify

1.6 \cdot 1 0^{- 19} \cdot 6

Solution

\frac{3}{5 ^{20} \cdot 32768}

+1

Solution steps

1.6 \cdot 1 0^{- 19} \cdot 6

Multiply the numbers:

1.6 \cdot 6 = 9.6

= 9.6 \cdot 1 0^{- 19}

= 1 0^{- 19} \cdot 9.6

Apply exponent rule:

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

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

= \frac{1}{1 0 ^{19}} \cdot 9.6

\frac{1}{1 0 ^{19}} \cdot 9.6 = \frac{9.6}{1 0 ^{19}}

= \frac{9.6}{1 0 ^{19}}

\frac{9.6}{1 0 ^{19}} = \frac{96}{10 \cdot 1 0 ^{19}}

= \frac{96}{10 \cdot 1 0 ^{19}}

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

= \frac{96}{1 0 ^{20}}

Factor

96 : 2^{5} \cdot 3

= \frac{2 ^{5} \cdot 3}{1 0 ^{20}}

Factor

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

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

\frac{2 ^{5}}{2 ^{20}} = \frac{1}{2 ^{15}}

= \frac{3}{2 ^{15} \cdot 5 ^{20}}

2^{15} = 32768

= \frac{3}{5 ^{20} \cdot 32768}

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Frequently Asked Questions (FAQ)

What is 1.6*10^{-19}*6 ?
The solution to 1.6*10^{-19}*6 is 3/(5^{20)*32768}