Powers, Exponents, and Roots

Problem : 81^1/2 = ?

9

Problem : 27^1/3 = ?

3

Problem : (- 64)^1/2 = ?

Does not exist -- we cannot take the square root of a negative number.

Problem : (17²)^1/2 = ?

17

Problem : (17^1/2)² = ?

17

Problem : ((- 12)²)^1/2 = ?

12

Problem : ((- 12)^1/2)² = ?

Does not exist--we cannot take the square root of a negative number.

Problem : 25^3/2 = ?

125

Problem : (100/81)^1/2 = ?

10/9

Problem : 64^-4/3 = ?

1/256