simplify 3*10^{-9}

Solution

simplify

3 \cdot 1 0^{- 9}

\frac{3}{1000000000}

Decimal Notation

0.000000003

Solution steps

3 \cdot 1 0^{- 9}

Apply exponent rule:

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

1 0^{- 9} = \frac{1}{1 0 ^{9}}

= 3 \cdot \frac{1}{1 0 ^{9}}

1 0^{9} = 1000000000

= 3 \cdot \frac{1}{1000000000}

3 \cdot \frac{1}{1000000000} = \frac{3}{1000000000}

= \frac{3}{1000000000}

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