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Popular >

simplify 3.5*10^{-15}

Solution

simplify

3.5 \cdot 1 0^{- 15}

Solution

\frac{7}{5 ^{15} \cdot 65536}

+1

Solution steps

3.5 \cdot 1 0^{- 15}

Apply exponent rule:

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

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

= 3.5 \cdot \frac{1}{1 0 ^{15}}

3.5 \cdot \frac{1}{1 0 ^{15}} = \frac{3.5}{1 0 ^{15}}

= \frac{3.5}{1 0 ^{15}}

\frac{3.5}{1 0 ^{15}} = \frac{35}{10 \cdot 1 0 ^{15}}

= \frac{35}{10 \cdot 1 0 ^{15}}

10 \cdot 1 0^{15} = 1 0^{16}

= \frac{35}{1 0 ^{16}}

Factor the number:

35 = 5 \cdot 7

= \frac{5 \cdot 7}{1 0 ^{16}}

Factor

1 0^{16} : 5^{16} \cdot 2^{16}

= \frac{5 \cdot 7}{5 ^{16} \cdot 2 ^{16}}

\frac{5}{5 ^{16}} = \frac{1}{5 ^{15}}

= \frac{7}{5 ^{15} \cdot 2 ^{16}}

2^{16} = 65536

= \frac{7}{5 ^{15} \cdot 65536}

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Frequently Asked Questions (FAQ)

What is 3.5*10^{-15} ?
The solution to 3.5*10^{-15} is 7/(5^{15)*65536}