What is the cube root of 512m12n15Could anyone plz help me?
Accepted Solution
A:
Answer:[tex]8m^4n^5[/tex]Step-by-step explanation:cube root is basically taking to the power of [tex]\frac{1}{3}[/tex]Also, there is a property that is [tex](x^m)^n=x^{mn}[/tex]We can use these and find the cube root of the expression:[tex](512m^{12}n^{15})^{\frac{1}{3}}\\=(512)^{\frac{1}{3}}*(m^{12})^{\frac{1}{3}}*(n^{15})^{\frac{1}{3}}\\=8*m^{\frac{12}{3}}*n^{\frac{15}{3}}\\=8*m^4 * n^5[/tex]Thus, third answer chioce is right.