Answer:
The cube root of 512 is 8
Step-by-step explanation:
The cube root of a number is expressed in radical form as;
[tex]\sqrt[3]{x}[/tex]
Using exponents, the above expression is equivalent to;
[tex]x^{\frac{1}{3}}[/tex]
512 can be expressed as;
2*2*2*2*2*2*2*2*2
This is equivalent to;
[tex]2^{9}[/tex]
Therefore;
[tex]512^{\frac{1}{3} }=(2^{9})^{\frac{1}{3} }=2^{3}=8[/tex]
The cube root of 512 is thus 8
