Question

What is the cube root of 512m12 n15?
-16m^4 m^5
-8m^5 m^4
8m4^ n^5
16m5n4

Answer 1

Answer: c 8m^4n^5

Explanation:

Answer 2

`8m^4n^5`

Explanation:

Given:

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

Now we know that,

`512= 2^9`

Substituting in above equation we get;

`\sqrt[3]{2^9m^(12)n^(15)}=(2^9m^(12)n^(15))^{(1)/(3)`

`= 2^{(9)/(3)}m^{(12)/(3)}n^{(15)/(3)}\\\\=2^3m^4n^5\\\\= 8m^4n^5`

Hence final answer is
`8m^4n^5`