Respuesta :

cube root of 512 = 8

of m^12 = m^(12/3) = m^4

of n^15 = n^5


Answer is 8m^4n^5
calculista

we have

[tex]\sqrt[3]{512m^{12}n^{15}}[/tex]

we know that

[tex]512=2^{9}[/tex]

substitute

[tex]\sqrt[3]{2^{9}m^{12}n^{15}}=({2^{9}m^{12}n^{15}})^{(1/3)}\\=(2)^{(9/3)}m^{(12/3)}n^{(15/3)} \\= 2^{3} m^{4} n^{5} \\= 8m^{4}n^{5}[/tex]

therefore

the answer is

[tex]8m^{4}n^{5}[/tex]

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