Answer:
[tex]8m^4n^5[/tex]
Step-by-step explanation:
Given:
[tex]\sqrt[3]{512m^{12}n^{15}}[/tex]
Now we know that,
[tex]512= 2^9[/tex]
Substituting in above equation we get;
[tex]\sqrt[3]{2^9m^{12}n^{15}}=(2^9m^{12}n^{15})^{\frac{1}{3}[/tex]
[tex]= 2^{\frac{9}{3}}m^{\frac{12}{3}}n^{\frac{15}{3}}\\\\=2^3m^4n^5\\\\= 8m^4n^5[/tex]
Hence final answer is [tex]8m^4n^5[/tex]
