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Popular >

simplify 6.6*10^{-15}

Solution

simplify

6.6 \cdot 1 0^{- 15}

Solution

\frac{33}{5 ^{16} \cdot 32768}

+1

Decimal Notation

6.6 E - 15

Solution steps

6.6 \cdot 1 0^{- 15}

Apply exponent rule:

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

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

= 6.6 \cdot \frac{1}{1 0 ^{15}}

6.6 \cdot \frac{1}{1 0 ^{15}} = \frac{6.6}{1 0 ^{15}}

= \frac{6.6}{1 0 ^{15}}

\frac{6.6}{1 0 ^{15}} = \frac{66}{10 \cdot 1 0 ^{15}}

= \frac{66}{10 \cdot 1 0 ^{15}}

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

= \frac{66}{1 0 ^{16}}

Factor the number:

66 = 2 \cdot 33

= \frac{2 \cdot 33}{1 0 ^{16}}

Factor

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

= \frac{2 \cdot 33}{2 ^{16} \cdot 5 ^{16}}

\frac{2}{2 ^{16}} = \frac{1}{2 ^{15}}

= \frac{33}{2 ^{15} \cdot 5 ^{16}}

2^{15} = 32768

= \frac{33}{5 ^{16} \cdot 32768}

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Frequently Asked Questions (FAQ)

What is 6.6*10^{-15} ?
The solution to 6.6*10^{-15} is (33)/(5^{16)*32768}