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Popular >

simplify 6.6*10^{-28}

Solution

simplify

6.6 \cdot 1 0^{- 28}

Solution

\frac{33}{5 ^{29} \cdot 268435456}

+1

Decimal Notation

6.6 E - 28

Solution steps

6.6 \cdot 1 0^{- 28}

Apply exponent rule:

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

1 0^{- 28} = \frac{1}{1 0 ^{28}}

= 6.6 \cdot \frac{1}{1 0 ^{28}}

6.6 \cdot \frac{1}{1 0 ^{28}} = \frac{6.6}{1 0 ^{28}}

= \frac{6.6}{1 0 ^{28}}

\frac{6.6}{1 0 ^{28}} = \frac{66}{10 \cdot 1 0 ^{28}}

= \frac{66}{10 \cdot 1 0 ^{28}}

10 \cdot 1 0^{28} = 1 0^{29}

= \frac{66}{1 0 ^{29}}

Factor the number:

66 = 2 \cdot 33

= \frac{2 \cdot 33}{1 0 ^{29}}

Factor

1 0^{29} : 2^{29} \cdot 5^{29}

= \frac{2 \cdot 33}{2 ^{29} \cdot 5 ^{29}}

\frac{2}{2 ^{29}} = \frac{1}{2 ^{28}}

= \frac{33}{2 ^{28} \cdot 5 ^{29}}

2^{28} = 268435456

= \frac{33}{5 ^{29} \cdot 268435456}

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Frequently Asked Questions (FAQ)

What is 6.6*10^{-28} ?
The solution to 6.6*10^{-28} is (33)/(5^{29)*268435456}