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

The solution to simplify-2.18*10^{-18}(1/(4^2)-1/(2^2)) is (327)/(10^{18)*800}

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

simplify

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

\frac{327}{1 0 ^{18} \cdot 800}

Decimal Notation

4.0875 E - 19

Solution steps

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

\frac{1}{4 ^{2}} - \frac{1}{2 ^{2}} = - \frac{3}{16}

= - 2.18 \cdot \frac{1}{1 0 ^{18}} (- \frac{3}{16})

Apply rule:

- a (- b) = ab

- 2.18 \cdot \frac{1}{1 0 ^{18}} (- \frac{3}{16}) = 2.18 \cdot \frac{1}{1 0 ^{18}} \cdot \frac{3}{16}

= 2.18 \cdot \frac{1}{1 0 ^{18}} \cdot \frac{3}{16}

2.18 = \frac{109}{50}

= \frac{109}{50} \cdot \frac{1}{1 0 ^{18}} \cdot \frac{3}{16}

\frac{109}{50} \cdot \frac{1}{1 0 ^{18}} \cdot \frac{3}{16} = \frac{327}{1 0 ^{18} \cdot 800}

= \frac{327}{1 0 ^{18} \cdot 800}

1.39 \cdot 1 0^{- 4}

\frac{1}{4} e^{- \frac{x}{4}}

(23) (32)

(8 - x)^{- \frac{1}{3}}

cos (x) e^{- s i n (x)}

What is simplify-2.18*10^{-18}(1/(4^2)-1/(2^2)) ?
The solution to simplify-2.18*10^{-18}(1/(4^2)-1/(2^2)) is (327)/(10^{18)*800}