Simplify the expression using the properties of exponents. Expand any numerical portion of your answer and only include positive exponents.
(2*3a*2b/b3)*−2
To simplify the expression (2*3a*2b/b^3)*(-2) using the properties of exponents, we can first apply the power of a product rule, which states that (ab)^n = a^n * b^n.
We have:
(2*3a*2b/b^3)*(-2)
= (6ab/b^3)*(-2)
= -12ab/b^3
Next, applying the quotient rule, which states that (a/b)^n = a^n / b^n, we can simplify the expression further:
-12ab/b^3
= -12a/b^(3-1)
= -12a/b^2
So the simplified expression is -12a/b^2.