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Popular >

simplify '10^{-3}10^{-5}

Solution

simplify

^{'} 1 0^{- 3} 1 0^{- 5}

Solution

\frac{'}{100000000}

Solution steps

^{'} 1 0^{- 3} \cdot 1 0^{- 5}

Apply exponent rule:

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

1 0^{- 3} \cdot 1 0^{- 5} = 1 0^{- 3 - 5}

=^{^{'}} 1 0^{- 3 - 5}

Subtract the numbers:

- 3 - 5 = - 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}}^{^{'}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Multiply:

1^{'} =^{'}

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

1 0^{8} = 100000000

= \frac{^{^{'}}}{100000000}

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Frequently Asked Questions (FAQ)

What is '10^{-3}10^{-5} ?
The solution to '10^{-3}10^{-5} is '/(100000000)