Simplify the expression 8a^3 b^b/2a^2 b^-3

Question

A. 4
B. 4ab^8
C. 10a^5b^2
D. 6ab^2

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Answer 1

To simplify the expression 8a^3 b^b/2a^2 b^-3, we can simplify the coefficients and the variables separately.

First, let's simplify the coefficients:
8/2 = 4

Now let's simplify the variables:
a^3/a^2 = a^(3-2) = a^1 = a
b^b/b^-3 = b^(b+3) = b^b * b^3 = b^(b+3)

So, putting everything together, we have:
4a(b^(b+3))

Therefore, the simplified expression is 4a(b^(b+3)).

The correct answer is: D. 4a(b^(b+3))