What is simplify-2.179*10^{-18}(1/(9^2)-1/(4^2)) ?

The solution to simplify-2.179*10^{-18}(1/(9^2)-1/(4^2)) is (28327)/(259200*10^{18)}

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simplify-2.179*10^{-18}(1/(9^2)-1/(4^2))

simplify

- 2.179 \cdot 1 0^{- 18} (\frac{1}{9 ^{2}} - \frac{1}{4 ^{2}})

\frac{28327}{259200 \cdot 1 0 ^{18}}

Decimal Notation

1.09286 E - 19

Solution steps

- 2.179 \cdot 1 0^{- 18} (\frac{1}{9 ^{2}} - \frac{1}{4 ^{2}})

Apply exponent rule:

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

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

= - 2.179 \cdot \frac{1}{1 0 ^{18}} (\frac{1}{9 ^{2}} - \frac{1}{4 ^{2}})

\frac{1}{9 ^{2}} - \frac{1}{4 ^{2}} = - \frac{65}{1296}

= - 2.179 \cdot \frac{1}{1 0 ^{18}} (- \frac{65}{1296})

Apply rule:

- a (- b) = ab

- 2.179 \cdot \frac{1}{1 0 ^{18}} (- \frac{65}{1296}) = 2.179 \cdot \frac{1}{1 0 ^{18}} \cdot \frac{65}{1296}

= 2.179 \cdot \frac{1}{1 0 ^{18}} \cdot \frac{65}{1296}

2.179 = \frac{2179}{1000}

= \frac{2179}{1000} \cdot \frac{1}{1 0 ^{18}} \cdot \frac{65}{1296}

\frac{2179}{1000} \cdot \frac{1}{1 0 ^{18}} \cdot \frac{65}{1296} = \frac{28327}{259200 \cdot 1 0 ^{18}}

= \frac{28327}{259200 \cdot 1 0 ^{18}}

(8.91 \cdot 1 0^{- 5}) (5.7 \cdot 1 0^{14})

e^{x} \cdot e^{x}

What is simplify-2.179*10^{-18}(1/(9^2)-1/(4^2)) ?
The solution to simplify-2.179*10^{-18}(1/(9^2)-1/(4^2)) is (28327)/(259200*10^{18)}