What is 8.85*10^{-12}(5)(1/(6*10^7)-1/(10^7)) ?

The solution to 8.85*10^{-12}(5)(1/(6*10^7)-1/(10^7)) is (59)/(8*10^{19)}-(177)/(10^{19)*4}

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simplify 8.8510^{-12}(5)(1/(610^7)-1/(10^7))

simplify

8.85 \cdot 1 0^{- 12} (5) (\frac{1}{6 \cdot 1 0 ^{7}} - \frac{1}{1 0 ^{7}})

\frac{59}{8 \cdot 1 0 ^{19}} - \frac{177}{1 0 ^{19} \cdot 4}

Decimal Notation

0

Solution steps

8.85 \cdot 1 0^{- 12} (5) (\frac{1}{6 \cdot 1 0 ^{7}} - \frac{1}{1 0 ^{7}})

Apply rule:

(a) = a

(5) = 5

= 8.85 \cdot 1 0^{- 12} \cdot 5 (\frac{1}{6 \cdot 1 0 ^{7}} - \frac{1}{1 0 ^{7}})

Multiply the numbers:

8.85 \cdot 5 = 44.25

= 44.25 \cdot 1 0^{- 12} (\frac{1}{6 \cdot 1 0 ^{7}} - \frac{1}{1 0 ^{7}})

= 1 0^{- 12} \cdot 44.25 (\frac{1}{6 \cdot 1 0 ^{7}} - \frac{1}{1 0 ^{7}})

Apply exponent rule:

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

1 0^{- 12} = \frac{1}{1 0 ^{12}}

= \frac{1}{1 0 ^{12}} \cdot 44.25 (\frac{1}{6 \cdot 1 0 ^{7}} - \frac{1}{1 0 ^{7}})

\frac{1}{1 0 ^{12}} \cdot 44.25 (\frac{1}{6 \cdot 1 0 ^{7}} - \frac{1}{1 0 ^{7}}) = \frac{44.25}{1 0 ^{12}} (\frac{1}{6 \cdot 1 0 ^{7}} - \frac{1}{1 0 ^{7}})

= \frac{44.25}{1 0 ^{12}} (\frac{1}{6 \cdot 1 0 ^{7}} - \frac{1}{1 0 ^{7}})

\frac{44.25}{1 0 ^{12}} = \frac{4425}{100 \cdot 1 0 ^{12}}

= \frac{4425}{100 \cdot 1 0 ^{12}} (\frac{1}{6 \cdot 1 0 ^{7}} - \frac{1}{1 0 ^{7}})

Cancel

\frac{4425}{100 \cdot 1 0 ^{12}} : \frac{177}{4 \cdot 1 0 ^{12}}

= \frac{177}{4 \cdot 1 0 ^{12}} (\frac{1}{6 \cdot 1 0 ^{7}} - \frac{1}{1 0 ^{7}})

Expand

\frac{177}{4 \cdot 1 0 ^{12}} (\frac{1}{6 \cdot 1 0 ^{7}} - \frac{1}{1 0 ^{7}}) : \frac{59}{8 \cdot 1 0 ^{19}} - \frac{177}{1 0 ^{19} \cdot 4}

= \frac{59}{8 \cdot 1 0 ^{19}} - \frac{177}{1 0 ^{19} \cdot 4}

(e^{2 x})^{3}

((1 + x) (1 + x + x^{2}))^{2}

(8 a b^{2} c) (13 a^{2} c)

7^{5}

What is 8.85*10^{-12}(5)(1/(6*10^7)-1/(10^7)) ?
The solution to 8.85*10^{-12}(5)(1/(6*10^7)-1/(10^7)) is (59)/(8*10^{19)}-(177)/(10^{19)*4}