What is simplify-2.179*10^{-18}(1/(7^2)-1/(3^2)) ?

The solution to simplify-2.179*10^{-18}(1/(7^2)-1/(3^2)) is (2179)/(11025*10^{18)}

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simplify-2.179*10^{-18}(1/(7^2)-1/(3^2))

simplify

- 2.179 \cdot 1 0^{- 18} (\frac{1}{7 ^{2}} - \frac{1}{3 ^{2}})

\frac{2179}{11025 \cdot 1 0 ^{18}}

Decimal Notation

1.97642 E - 19

Solution steps

- 2.179 \cdot 1 0^{- 18} (\frac{1}{7 ^{2}} - \frac{1}{3 ^{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}{7 ^{2}} - \frac{1}{3 ^{2}})

\frac{1}{7 ^{2}} - \frac{1}{3 ^{2}} = - \frac{40}{441}

= - 2.179 \cdot \frac{1}{1 0 ^{18}} (- \frac{40}{441})

Apply rule:

- a (- b) = ab

- 2.179 \cdot \frac{1}{1 0 ^{18}} (- \frac{40}{441}) = 2.179 \cdot \frac{1}{1 0 ^{18}} \cdot \frac{40}{441}

= 2.179 \cdot \frac{1}{1 0 ^{18}} \cdot \frac{40}{441}

2.179 = \frac{2179}{1000}

= \frac{2179}{1000} \cdot \frac{1}{1 0 ^{18}} \cdot \frac{40}{441}

\frac{2179}{1000} \cdot \frac{1}{1 0 ^{18}} \cdot \frac{40}{441} = \frac{2179}{11025 \cdot 1 0 ^{18}}

= \frac{2179}{11025 \cdot 1 0 ^{18}}

(e^{\frac{2}{n}})^{n + 1}

(3 a^{2} b^{6}) (7 a b^{4})

- e^{- 8}

2 39^{2}

What is simplify-2.179*10^{-18}(1/(7^2)-1/(3^2)) ?
The solution to simplify-2.179*10^{-18}(1/(7^2)-1/(3^2)) is (2179)/(11025*10^{18)}