What is simplify-2.178*10^{-18}(1/((2)^2)-1/((5)^2)) ?

The solution to simplify-2.178*10^{-18}(1/((2)^2)-1/((5)^2)) is -(22869)/(50000*10^{18)}

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simplify-2.178*10^{-18}(1/((2)^2)-1/((5)^2))

simplify

- 2.178 \cdot 1 0^{- 18} (\frac{1}{( 2 ) ^{2}} - \frac{1}{( 5 ) ^{2}})

- \frac{22869}{50000 \cdot 1 0 ^{18}}

Decimal Notation

0

Solution steps

- 2.178 \cdot 1 0^{- 18} (\frac{1}{2 ^{2}} - \frac{1}{5 ^{2}})

Apply exponent rule:

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

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

= - 2.178 \cdot \frac{1}{1 0 ^{18}} (\frac{1}{2 ^{2}} - \frac{1}{5 ^{2}})

\frac{1}{2 ^{2}} - \frac{1}{5 ^{2}} = \frac{21}{100}

= - 2.178 \cdot \frac{1}{1 0 ^{18}} \cdot \frac{21}{100}

- 2.178 \cdot \frac{1}{1 0 ^{18}} \cdot \frac{21}{100} = - \frac{45.738}{1 0 ^{18} \cdot 100}

= - \frac{45.738}{1 0 ^{18} \cdot 100}

\frac{45.738}{1 0 ^{18} \cdot 100} = \frac{45738}{100000 \cdot 1 0 ^{18}}

= - \frac{45738}{100000 \cdot 1 0 ^{18}}

Factor the number:

45738 = 2 \cdot 22869

= - \frac{2 \cdot 22869}{100000 \cdot 1 0 ^{18}}

Factor the number:

100000 = 2 \cdot 50000

= - \frac{2 \cdot 22869}{2 \cdot 50000 \cdot 1 0 ^{18}}

Cancel the common factor:

2

= - \frac{22869}{50000 \cdot 1 0 ^{18}}

\frac{x ^{2}}{( 2 - x ) ^{2}}

π x^{2} 2 x

2 (x^{2} + y^{2} + z^{2}) (2 x)

(\frac{5}{2})^{10} l e f t ((\frac{5}{4})^{5})^{- 2}

32

What is simplify-2.178*10^{-18}(1/((2)^2)-1/((5)^2)) ?
The solution to simplify-2.178*10^{-18}(1/((2)^2)-1/((5)^2)) is -(22869)/(50000*10^{18)}