The fractional power 1/3 translates to the cube root. The cube root of 64 is 4, since 4^3 (or 4 * 4 * 4) equals 64.

An exponent of 1/5 asks for the fifth root of the number. The fifth root of 32 is 2, because multiplying 2 by itself five times yields 32.

The power of 1/2 corresponds to the square root of the number. The square root of 25 is 5, as 5 multiplied by itself equals 25.

An exponent of 1/3 means calculating the cube root. Since 3 * 3 * 3 = 27, the cube root of 27 is 3.

Raising a number to the power of 1/3 is the same as finding its cube root. The cube root of 8 is 2, because 2^3 = 8.

An exponent of 1/4 indicates the fourth root of the base. The fourth root of 16 is 2, since 2 * 2 * 2 * 2 equals 16.

A fractional exponent of 1/2 is equivalent to taking the square root. The square root of 9 is 3, because 3 * 3 = 9.

First, add the exponents: 3 + (-5) = -2, giving x^-2. Then, convert the negative exponent to a positive one by rewriting it as 1/x^2.

Raising a fraction to the power of -1 simply means finding its reciprocal. Flipping the numerator and denominator of 2/3 gives the result 3/2.

A negative exponent on a fraction flips the fraction (takes the reciprocal) and makes the exponent positive. So, (1/2)^-2 becomes (2/1)^2, which equals 4.