Answer:
[tex]E=5x^2y^5z[/tex]
Step-by-step explanation:
Simplification of Exponents
Some basic algebra rules need to be applied when simplifying expressions involving power of powers, product and quotient of terms with the same base. These are some of the cited rules
[tex](x^n)^m=x^{n.m}[/tex]
[tex]\displaystyle \sqrt[n]{x^m} =x^\frac{m}{n}[/tex]
We need to simplify the expression
[tex]\displaystyle E=\sqrt[3]{125x^6y^{15}z^3}[/tex]
Knowing that [tex]125=5^3[/tex]
[tex]\displaystyle E=\sqrt[3]{5^3x^6y^{15}z^3}[/tex]
Transforming the radical into fraction powers
[tex]\displaystyle E=5^\frac{3}{3}x^\frac{6}{3}y^\frac{15}{3}z^\frac{3}{3}[/tex]
Operating each division
[tex]\boxed{E=5x^2y^5z}[/tex]
