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Popular >

simplify 10*10^{-9}

Solution

simplify

10 \cdot 1 0^{- 9}

Solution

\frac{1}{100000000}

+1

Decimal Notation

0.00000001

Solution steps

10 \cdot 1 0^{- 9}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

10 \cdot 1 0^{- 9} = 1 0^{1 - 9}

= 1 0^{1 - 9}

Subtract the numbers:

1 - 9 = - 8

= 1 0^{- 8}

Apply exponent rule:

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

1 0^{- 8} = \frac{1}{1 0 ^{8}}

= \frac{1}{1 0 ^{8}}

1 0^{8} = 100000000

= \frac{1}{100000000}

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Frequently Asked Questions (FAQ)

What is 10*10^{-9} ?
The solution to 10*10^{-9} is 1/100000000