Question

( 8 ) ^ - 1 / 3

 

Answer 1

Use exponential rules such as (a^m)^n=a^mn and a^-m=1/a^m, where a,m and n are any real numbers with an only limitation: a≠0.

8^(-1/3) = (2^3)^(-1/3)=2^-1=1/2

The answer is: 8^(-1/3)=1/2

Answer 2

Use exponential rules such as (a^m)^n=a^mn and a^-m=1/a^m, where a,m and n are any real numbers with an only limitation: a≠0.

8^(-1/3) = (2^3)^(-1/3) = 2^-1 = 1/2

The answer is: 8^(-1/3) = 1/2

Answer 3

Fractional powers imply roots. 1/2 is square root and 1/3 is cube root. The cube root of 8 is 2 because 2*2*2=8. Negative powers mean reciprocal or inverse or 1 over. The inverse of 2 is 1/2. So the question means the reciprocal or inverse of the cube root of 8.