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simplificar ((8.98e^9)(1.610^{-19})(1.610^{-19}))/((2*10^{-15))^2}

Solução

simplificar

\frac{( 8.98 e ^{9} ) ( 1.6 \cdot 1 0 ^{- 19} ) ( 1.6 \cdot 1 0 ^{- 19} )}{( 2 \cdot 1 0 ^{- 15} ) ^{2}}

0.00046 \dots

Passos da solução

\frac{( 8.98 e ^{9} ) ( 1.6 \cdot 1 0 ^{- 19} ) ( 1.6 \cdot 1 0 ^{- 19} )}{( 2 \cdot 1 0 ^{- 15} ) ^{2}}

Remover os parênteses:

(a) = a

= \frac{8.98 e ^{9} \cdot 1.6 \cdot 1 0 ^{- 19} \cdot 1.6 \cdot 1 0 ^{- 19}}{( 2 \cdot 1 0 ^{- 15} ) ^{2}}

Multiplicar os números:

8.98 \cdot 1.6 \cdot 1.6 = 22.9888

= \frac{1 0 ^{- 19} \cdot 1 0 ^{- 19} \cdot 22.9888 e ^{9}}{( 1 0 ^{- 15} \cdot 2 ) ^{2}}

Fatorar

1 0^{- 19} : 2^{- 19} \cdot 5^{- 19}

Fatorar

(1 0^{- 15} \cdot 2)^{2} : 2^{2} \cdot \frac{1}{1 0 ^{30}}

Fatorar

1 0^{- 19} : 2^{- 19} \cdot 5^{- 19}

= \frac{2 ^{- 19} \cdot 5 ^{- 19} \cdot 2 ^{- 19} \cdot 5 ^{- 19} \cdot 22.9888 e ^{9}}{2 ^{2} \cdot \frac{1}{1 0 ^{30}}}

22.9888 e^{9} \cdot 2^{- 19} \cdot 5^{- 19} \cdot 2^{- 19} \cdot 5^{- 19} = 22.9888 e^{9} \cdot 5^{- 19} \cdot 2^{- 38} \cdot 5^{- 19}

= \frac{5 ^{- 19} \cdot 5 ^{- 19} \cdot 2 ^{- 38} \cdot 22.9888 e ^{9}}{2 ^{2} \cdot \frac{1}{1 0 ^{30}}}

Cancelar

\frac{22.9888 e ^{9} \cdot 5 ^{- 19} \cdot 2 ^{- 38} \cdot 5 ^{- 19}}{2 ^{2} \cdot \frac{1}{1 0 ^{30}}} : \frac{5 ^{- 19} \cdot 5 ^{- 19} \cdot 22.9888 e ^{9}}{2 ^{40} \cdot \frac{1}{1 0 ^{30}}}

= \frac{5 ^{- 19} \cdot 5 ^{- 19} \cdot 22.9888 e ^{9}}{2 ^{40} \cdot \frac{1}{1 0 ^{30}}}

Multiplicar

5^{- 19} \cdot 5^{- 19} \cdot 22.9888 e^{9} : 5.12043 E - 22

= \frac{5.12043 E - 22}{2 ^{40} \cdot \frac{1}{1 0 ^{30}}}

Converter o elemento em uma forma decimal

2^{40} = 1099511627776

= \frac{5.12043 E - 22}{1099511627776 \cdot \frac{1}{1 0 ^{30}}}

Converter o elemento em uma forma decimal

1 0^{30} = 1.0 E 30

= \frac{5.12043 E - 22}{1099511627776 \cdot \frac{1}{1.0 E 30}}

Dividir:

\frac{1}{1.0 E 30} = 1.0 E - 30

= \frac{5.12043 E - 22}{1099511627776 \cdot 1.0 E - 30}

Multiplicar os números:

1099511627776 \cdot 1.0 E - 30 = 1.09951 E - 18

= \frac{5.12043 E - 22}{1.09951 E - 18}

Dividir:

\frac{5.12043 E - 22}{1.09951 E - 18} = 0.00046 \dots

= 0.00046 \dots

s im pl i f y (1 - i)^{12}

12 p \leq 24

f a c t or y^{2} - 74 y + 73

+ \frac{x - 2}{x ^{2} - 1} \geq 0

9 = - 6 + u