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Popular >

simplify 2.4*10^{-15}

Solution

simplify

2.4 \cdot 1 0^{- 15}

Solution

\frac{3}{5 ^{16} \cdot 8192}

+1

Decimal Notation

2.4 E - 15

Solution steps

2.4 \cdot 1 0^{- 15}

Apply exponent rule:

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

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

= 2.4 \cdot \frac{1}{1 0 ^{15}}

2.4 \cdot \frac{1}{1 0 ^{15}} = \frac{2.4}{1 0 ^{15}}

= \frac{2.4}{1 0 ^{15}}

\frac{2.4}{1 0 ^{15}} = \frac{24}{10 \cdot 1 0 ^{15}}

= \frac{24}{10 \cdot 1 0 ^{15}}

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

= \frac{24}{1 0 ^{16}}

Factor

24 : 2^{3} \cdot 3

= \frac{2 ^{3} \cdot 3}{1 0 ^{16}}

Factor

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

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

\frac{2 ^{3}}{2 ^{16}} = \frac{1}{2 ^{13}}

= \frac{3}{2 ^{13} \cdot 5 ^{16}}

2^{13} = 8192

= \frac{3}{5 ^{16} \cdot 8192}

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Frequently Asked Questions (FAQ)

What is 2.4*10^{-15} ?
The solution to 2.4*10^{-15} is 3/(5^{16)*8192}