Find the cube root of 512: 512−−−√3 .

To find the cube root of 512, we can express it mathematically as \( \sqrt[3]{512} \).

We know that:

\[ 512 = 2^9 \]

To find the cube root, we can use the property of exponents:

\[ \sqrt[3]{2^9} = 2^{9/3} = 2^3 = 8 \]

Therefore, the cube root of 512 is:

\[ \sqrt[3]{512} = 8 \]