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

The solution to simplify-2.18*10^{-18}(1/(2^2)-1/(3^2)) is -(109)/(360*10^{18)}

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

simplify

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

- \frac{109}{360 \cdot 1 0 ^{18}}

Decimal Notation

0

Solution steps

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

\frac{1}{2 ^{2}} - \frac{1}{3 ^{2}} = \frac{5}{36}

= - 2.18 \cdot \frac{1}{1 0 ^{18}} \cdot \frac{5}{36}

2.18 = \frac{109}{50}

= - \frac{109}{50} \cdot \frac{1}{1 0 ^{18}} \cdot \frac{5}{36}

- \frac{109}{50} \cdot \frac{1}{1 0 ^{18}} \cdot \frac{5}{36} = - \frac{109}{360 \cdot 1 0 ^{18}}

= - \frac{109}{360 \cdot 1 0 ^{18}}

4.9 \cdot 1 0^{- 5}

1 0^{- 19} \cdot 1.6

3 - x \times x^{2} - 1

2035800 (15224352) (156544557 e^{- 8})

(x^{2} - 10) e^{- x}

What is simplify-2.18*10^{-18}(1/(2^2)-1/(3^2)) ?
The solution to simplify-2.18*10^{-18}(1/(2^2)-1/(3^2)) is -(109)/(360*10^{18)}