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Popular >

simplify 1.6*10^{-29}

Solution

simplify

1.6 \cdot 1 0^{- 29}

Solution

\frac{1}{5 ^{30} \cdot 67108864}

+1

Decimal Notation

1.6 E - 29

Solution steps

1.6 \cdot 1 0^{- 29}

Apply exponent rule:

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

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

= 1.6 \cdot \frac{1}{1 0 ^{29}}

1.6 \cdot \frac{1}{1 0 ^{29}} = \frac{1.6}{1 0 ^{29}}

= \frac{1.6}{1 0 ^{29}}

\frac{1.6}{1 0 ^{29}} = \frac{16}{10 \cdot 1 0 ^{29}}

= \frac{16}{10 \cdot 1 0 ^{29}}

10 \cdot 1 0^{29} = 1 0^{30}

= \frac{16}{1 0 ^{30}}

Factor the number:

16 = 2^{4}

= \frac{2 ^{4}}{1 0 ^{30}}

Factor

1 0^{30} : 2^{30} \cdot 5^{30}

= \frac{2 ^{4}}{2 ^{30} \cdot 5 ^{30}}

\frac{2 ^{4}}{2 ^{30}} = \frac{1}{2 ^{26}}

= \frac{1}{2 ^{26} \cdot 5 ^{30}}

2^{26} = 67108864

= \frac{1}{5 ^{30} \cdot 67108864}

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Frequently Asked Questions (FAQ)

What is 1.6*10^{-29} ?
The solution to 1.6*10^{-29} is 1/(5^{30)*67108864}