How do you evaluate 32^(4/5)?

Answer 1

To evaluate 32^4/5 recall the following property of exponents: (a^m)ⁿ = a^mn. In this case, notice

⁴/₅ = (¹/₅)(4). So,

32^4/5 = (32^1/5)⁴.

Now we can evaluate 32^1/5.. This is the fifth root of 32, which equals 2. (2⁵ = 32) .So,

32^1/5.= 2 and (32^1/5)⁴ = 2⁴ = 16.