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Popular >

simplify 10^9(1*10^{-12})

Solution

simplify

1 0^{9} (1 \cdot 1 0^{- 12})

Solution

\frac{1}{1000}

+1

Decimal Notation

0.001

Solution steps

1 0^{9} (1 \cdot 1 0^{- 12})

Apply exponent rule:

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

1 0^{9} \cdot 1 0^{- 12} = 1 0^{9 - 12}

= 1 \cdot 1 0^{9 - 12}

Subtract the numbers:

9 - 12 = - 3

= 1 \cdot 1 0^{- 3}

Apply exponent rule:

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

1 0^{- 3} = \frac{1}{1 0 ^{3}}

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

Multiply:

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

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

1 0^{3} = 1000

= \frac{1}{1000}

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Frequently Asked Questions (FAQ)

What is 10^9(1*10^{-12}) ?
The solution to 10^9(1*10^{-12}) is 1/1000