simplificar b^{5/2}c^{5/11}(b^{3/2}c^{7/11})

Solução

simplificar

b^{\frac{5}{2}} c^{\frac{5}{11}} (b^{\frac{3}{2}} c^{\frac{7}{11}})

b^{4} c^{\frac{12}{11}}

Passos da solução

b^{\frac{5}{2}} c^{\frac{5}{11}} (b^{\frac{3}{2}} c^{\frac{7}{11}})

Aplicar as propriedades dos expoentes:

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

b^{\frac{5}{2}} b^{\frac{3}{2}} = b^{\frac{5}{2} + \frac{3}{2}}

= c^{\frac{5}{11}} b^{\frac{5}{2} + \frac{3}{2}} c^{\frac{7}{11}}

Aplicar as propriedades dos expoentes:

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

c^{\frac{5}{11}} c^{\frac{7}{11}} = c^{\frac{5}{11} + \frac{7}{11}}

= b^{\frac{5}{2} + \frac{3}{2}} c^{\frac{5}{11} + \frac{7}{11}}

Combinar as frações usando o mínimo múltiplo comum:

\frac{12}{11}

= c^{\frac{12}{11}} b^{\frac{5}{2} + \frac{3}{2}}

Combinar as frações usando o mínimo múltiplo comum:

4

= b^{4} c^{\frac{12}{11}}

s im pl i f y (6.6 \cdot 1 0^{- 34}) (3 \cdot 1 0^{8})

s im pl i f y (2 a^{2} b) (4 a b^{2} c)

s im pl i f y 384 \cdot (- 1.602) \cdot 1 0^{- 19 \cdot 0.027}

s im pl i f y es tan (d) a r^{7.68} \cdot 1 0^{- 6}

s im pl i f y 30250 \cdot e^{- 0.08 \cdot 3}