Answer:
f(x) = [tex]2^{\frac{5}{3} }x^{3}[/tex] is the simplest expression
Step-by-step explanation:
We are given an expression and we are supposed to find the simplest form of the given expression.
The given expression is
f(x) = [tex]\sqrt[3]{4x^{2} } \times \sqrt[3]{8x^{7} }[/tex]
Since the cube root is common we can multiply the quotient inside the radical sign.
f(x) = [tex]\sqrt[3]{32x^{(2+7)} }[/tex]
= [tex]\sqrt[3]{32x^{9} }[/tex]
= [tex]2^{\frac{5}{3} }\times x^{\frac{9}{3} }[/tex]
= [tex]2^{\frac{5}{3} }x^{3}[/tex]
f(x) = [tex]2^{\frac{5}{3} }x^{3}[/tex] is the simplest expression
