Evaluate the expression (25^-3/2) ^1/3

the answer is 1/5

1/5

Step-by-step explanation:

To avoid ambiguity, your negative exponent - 3/2 should be enclosed in brackets or parentheses, as should your exponent 1/3:

(25^[-3/2]) ^ (1/3)

This is equivalent to:

(√25) ^ (-3) · (1/3), or

5^ (-1), or 1/5.