pt

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Álgebra >

simplificar sqrt(2)cis(pi/2)cis((3pi)/4)

Solução

simplificar

2 c i s (\frac{π}{2}) c i s (\frac{3 π}{4})

Solução

\frac{3 π ^{2} i ^{2} c ^{2} s ^{2}}{4 2}

Passos da solução

2 c i s (\frac{π}{2}) c i s (\frac{3 π}{4})

Aplicar as propriedades dos expoentes:

a^{b} \cdot a^{c} = a^{b + c}

ii = i^{1 + 1}

= 2 cs \frac{π}{2} c i^{1 + 1} s \frac{3 π}{4}

Somar:

1 + 1 = 2

= 2 cs \frac{π}{2} c i^{2} s \frac{3 π}{4}

Aplicar as propriedades dos expoentes:

a^{b} \cdot a^{c} = a^{b + c}

cc = c^{1 + 1}

= 2 s \frac{π}{2} c^{1 + 1} i^{2} s \frac{3 π}{4}

Somar:

1 + 1 = 2

= 2 s \frac{π}{2} c^{2} i^{2} s \frac{3 π}{4}

Aplicar as propriedades dos expoentes:

a^{b} \cdot a^{c} = a^{b + c}

ss = s^{1 + 1}

= 2 \frac{π}{2} c^{2} i^{2} s^{1 + 1} \frac{3 π}{4}

Somar:

1 + 1 = 2

= 2 \frac{π}{2} c^{2} i^{2} s^{2} \frac{3 π}{4}

Multiplicar frações:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= \frac{π 3 π 2 c ^{2} i ^{2} s ^{2}}{2 \cdot 4}

π 3 π 2 c^{2} i^{2} s^{2} = 32 π^{2} i^{2} c^{2} s^{2}

= \frac{3 2 π ^{2} i ^{2} c ^{2} s ^{2}}{2 \cdot 4}

Multiplicar os números:

2 \cdot 4 = 8

= \frac{3 2 π ^{2} i ^{2} c ^{2} s ^{2}}{8}

Fatorar

8 : 2^{3}

= \frac{3 2 π ^{2} i ^{2} c ^{2} s ^{2}}{2 ^{3}}

Cancelar

\frac{3 π ^{2} 2 c ^{2} i ^{2} s ^{2}}{2 ^{3}} : \frac{3 π ^{2} i ^{2} c ^{2} s ^{2}}{2 ^{\frac{5}{2}}}

= \frac{3 π ^{2} i ^{2} c ^{2} s ^{2}}{2 ^{\frac{5}{2}}}

2^{\frac{5}{2}} = 2^{2} 2

= \frac{3 π ^{2} i ^{2} c ^{2} s ^{2}}{2 ^{2} 2}

2^{2} = 4

= \frac{3 π ^{2} i ^{2} c ^{2} s ^{2}}{4 2}

Exemplos populares

simplificar-4e^{-0}

s im pl i f y - 4 e^{- 0}

simplificar \sqrt[4]{x}*sqrt(x)

s im pl i f y 4 x \cdot x

simplificar (3^x)/(2^x)

s im pl i f y \frac{3 ^{x}}{2 ^{x}}

simplificar 4(x-3)^2(x+2)^2

s im pl i f y 4 (x - 3)^{2} (x + 2)^{2}

simplificar e^{-4ln(2)}

s im pl i f y e^{- 4 l n (2)}