Question

evaluate the following-
(32)2/5​

Answer 1

Answer:

Step-by-step explanation:-322/5

 

When there are fractional powers, you evaluate the number to the numerator's (top) power, and then find the denominator's (bottom) root of the number.

 

Or you can find the root first and then find the power, which is what I will do:

 

-322/5 = (5√-32)2 = (-2)2 = 4

-32^(1/5)^2

Multiply exponents. (32^(1/5))^2 = 32^(2/5):

-32^(2/5)

32^(2/5) = (32^2)^(1/5) = (2^10)^(1/5) = 2^2:

-2^2

2^2 = 4: