Respuesta :

Answer:

the correct answer is B

Answer:

second option

Step-by-step explanation:

Given expression is:

[tex]\sqrt[3]{64a^6b^7c^9}[/tex]

Converting the expression in the exponents of multiples of three

[tex]\sqrt[3]{4^3*a^6*b^6*b*c^9}[/tex]

Solving the radical

[tex]={4^{(3*\frac{1}{3})} *a^{(6*\frac{1}{3})}*b^{(6*\frac{1}{3})}*b^{(\frac{1}{3})}*c^{(9*\frac{1}{3})}}\\=4a^2b^2c^3\sqrt[3]{b}[/tex]

Hence,

2nd option is correct ..