Question

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

Answer 1

Answer:

$8m^4n^5$

Step-by-step explanation:

Given:

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

Now we know that,

$512= 2^9$

Substituting in above equation we get;

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

$= 2^{\frac{9}{3}}m^{\frac{12}{3}}n^{\frac{15}{3}}\\\\=2^3m^4n^5\\\\= 8m^4n^5$

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

Answer 2

Answer: c 8m^4n^5

Step-by-step explanation: