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Popular >

simplify 1.5*10^{-18}

Solution

simplify

1.5 \cdot 1 0^{- 18}

Solution

\frac{3}{5 ^{18} \cdot 524288}

+1

Decimal Notation

1.5 E - 18

Solution steps

1.5 \cdot 1 0^{- 18}

Apply exponent rule:

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

1 0^{- 18} = \frac{1}{1 0 ^{18}}

= 1.5 \cdot \frac{1}{1 0 ^{18}}

1.5 \cdot \frac{1}{1 0 ^{18}} = \frac{1.5}{1 0 ^{18}}

= \frac{1.5}{1 0 ^{18}}

\frac{1.5}{1 0 ^{18}} = \frac{15}{10 \cdot 1 0 ^{18}}

= \frac{15}{10 \cdot 1 0 ^{18}}

10 \cdot 1 0^{18} = 1 0^{19}

= \frac{15}{1 0 ^{19}}

Factor the number:

15 = 5 \cdot 3

= \frac{5 \cdot 3}{1 0 ^{19}}

Factor

1 0^{19} : 5^{19} \cdot 2^{19}

= \frac{5 \cdot 3}{5 ^{19} \cdot 2 ^{19}}

\frac{5}{5 ^{19}} = \frac{1}{5 ^{18}}

= \frac{3}{5 ^{18} \cdot 2 ^{19}}

2^{19} = 524288

= \frac{3}{5 ^{18} \cdot 524288}

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Frequently Asked Questions (FAQ)

What is 1.5*10^{-18} ?
The solution to 1.5*10^{-18} is 3/(5^{18)*524288}