When b > 0 and d is a positive integer, (b)^−2/d is equivalent to which of the following expressions?

Option C . 1/(d√b)²

Step-by-step explanation:

b^−2/d

We can simplify the above expression as follow:

b^−2/d

Recall

a¯ⁿ = 1/aⁿ

Therefore,

b^−2/d = 1/b^(2/d)

Recall:

a^(n/d) = (d√a)ⁿ

Therefore,

1/b^(2/d) = 1/(d√b)²

Thus,

b^−2/d = 1/(d√b)²

From the above illustrations,

b^−2/d is equivalent to 1/(d√b)².

2

step-by-step explanation: