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

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

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

simplify

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

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

Decimal Notation

0

Solution steps

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

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

(52 - 43) (52 - 43)

(0)^{2}

5000 [\frac{1 - ( 1 + 0.04 ) ^{- 4 (3)}}{0.04}] (1 + 0.04)^{- 4 (6)}

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