Question

simplify by reducig the index of the radical

Answer 1

\[\sqrt[12]{125x ^{3}}\]

Answer 2

= (125*x^3)^(1/12) - (5^3*x^3)^(1/12) = 5^(3/12)*x(^(3/12) = 5^(1/4)*x^(1/4) = (5x)^(1/4) = \[\sqrt[4]{5x}\]

Answer 3

thanks

Answer 4

Remember how you can rewrite it as a rational exponent.
\[\sqrt[12]{125x^3} \implies \sqrt[12]{(5x)^3} \implies (5x)^{\frac{3}{12}} \implies (5x)^{\frac14} \implies \sqrt[4]{5x}\]See how it works? I just used this rule below:
\[\sqrt[n]{y^x} \implies y^{\frac xn}\]