tayloraddison21 tayloraddison21
  • 15-08-2019
  • Mathematics
contestada

Which expression is equivalent to ^3√x^5y?
a)x5/3
b)x5/3y1/3
c)x3/5 y
d)x3/5 y3​

Respuesta :

Cricetus
Cricetus Cricetus
  • 26-08-2019

Answer:

[tex](x^5y)^{\frac{1}{3}}= x^{\frac{5}{3}} \times y^{\frac{1}{3}}[/tex]

Step-by-step explanation:

We are given our expression as

[tex]\sqrt[3]{x^5y}[/tex]

The property of exponent says that

[tex]\sqrt[n]{x} =x^{\frac{1}{n}}[/tex]

Hence

[tex]\sqrt[3]{x^5y}= (x^5y)^{\frac{1}{3}}[/tex]

Another property says

[tex](ab)^n=a^n \times b^n[/tex]

Hence

[tex](x^5y)^{\frac{1}{3}}= x^{\frac{5}{3}} \times y^{\frac{1}{3}}[/tex]

Hence option B is correct.

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