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3 votes
What is the cube root of 512m^12n^15?

User SAMPro
by
7.8k points

2 Answers

4 votes
cube root of 512 = 8

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

of n^15 = n^5


Answer is 8m^4n^5
User Shim
by
8.2k points
2 votes

we have


\sqrt[3]{512m^(12)n^(15)}

we know that


512=2^(9)

substitute


\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)

therefore

the answer is


8m^(4)n^(5)

User Tin
by
7.8k points

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