What is 1/((2.5*10^{-5))^2}*(-1)*10^{-10} ?

The solution to 1/((2.5*10^{-5))^2}*(-1)*10^{-10} is -4/25

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simplify 1/((2.510^{-5))^2}(-1)*10^{-10}

simplify

\frac{1}{( 2.5 \cdot 1 0 ^{- 5} ) ^{2}} \cdot (- 1) \cdot 1 0^{- 10}

- \frac{4}{25}

Solution steps

\frac{1}{( 2.5 \cdot 1 0 ^{- 5} ) ^{2}} (- 1) \cdot 1 0^{- 10}

Apply exponent rule:

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

1 0^{- 10} = \frac{1}{1 0 ^{10}}

= \frac{1}{( 2.5 \cdot 1 0 ^{- 5} ) ^{2}} (- 1) \frac{1}{1 0 ^{10}}

\frac{1}{( 2.5 \cdot 1 0 ^{- 5} ) ^{2}} = 1600000000

= 1600000000 (- 1) \frac{1}{1 0 ^{10}}

1600000000 (- 1) \frac{1}{1 0 ^{10}} = \frac{4}{25} (- 1)

= \frac{4}{25} (- 1)

Apply rule:

a (- b) = - ab

\frac{4}{25} (- 1) = - \frac{4}{25} \cdot 1

= - \frac{4}{25} \cdot 1

Multiply the numbers:

- \frac{4}{25} \cdot 1 = - \frac{4}{25}

= - \frac{4}{25}

(5 x - 3)^{2} (2 - x^{4})^{2}

(\frac{2}{3} u^{- \frac{1}{3}} u^{'}) \cdot \frac{3}{2} u^{\frac{1}{3}}

e^{- \frac{l n ( 2 )}{l n ( 4 )}}

0.65 \cdot 1 0^{- 5}

What is 1/((2.5*10^{-5))^2}*(-1)*10^{-10} ?
The solution to 1/((2.5*10^{-5))^2}*(-1)*10^{-10} is -4/25