What is simplify-2.18*10^{-18}(1/(3^2)-1/(4^2)) ?

The solution to simplify-2.18*10^{-18}(1/(3^2)-1/(4^2)) is -(763)/(10^{18)*7200}

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simplify-2.18*10^{-18}(1/(3^2)-1/(4^2))

simplify

- 2.18 \cdot 1 0^{- 18} (\frac{1}{3 ^{2}} - \frac{1}{4 ^{2}})

- \frac{763}{1 0 ^{18} \cdot 7200}

Decimal Notation

0

Solution steps

- 2.18 \cdot 1 0^{- 18} (\frac{1}{3 ^{2}} - \frac{1}{4 ^{2}})

Apply exponent rule:

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

1 0^{- 18} = \frac{1}{1 0 ^{18}}

= - 2.18 \cdot \frac{1}{1 0 ^{18}} (\frac{1}{3 ^{2}} - \frac{1}{4 ^{2}})

\frac{1}{3 ^{2}} - \frac{1}{4 ^{2}} = \frac{7}{144}

= - 2.18 \cdot \frac{1}{1 0 ^{18}} \cdot \frac{7}{144}

2.18 = \frac{109}{50}

= - \frac{109}{50} \cdot \frac{1}{1 0 ^{18}} \cdot \frac{7}{144}

- \frac{109}{50} \cdot \frac{1}{1 0 ^{18}} \cdot \frac{7}{144} = - \frac{763}{1 0 ^{18} \cdot 7200}

= - \frac{763}{1 0 ^{18} \cdot 7200}

e^{x} (2 e^{2 x})

500 (100 \cdot 1 0^{- 6}) e^{- 2500 (100 \cdot 1 0^{- 6})}

\frac{5 - 5}{5}

3.8 \cdot 1 0^{- 2}

What is simplify-2.18*10^{-18}(1/(3^2)-1/(4^2)) ?
The solution to simplify-2.18*10^{-18}(1/(3^2)-1/(4^2)) is -(763)/(10^{18)*7200}