To simplify the given expression:(a^2/b^3)^-3 a^5 b^-8
First, we need to simplify the term inside the parentheses.(a^2/b^3)^-3 = a^-6 / b^-9 = 1/(a^6 * b^9)
Now, substitute this back into the expression:(1/(a^6 b^9)) a^5 * b^-8
From here, we can combine the terms:1 a^5 a^-6 b^-8 b^9= a^5 a^-6 b^-8 b^9= a^(-1) b
Therefore, the simplified expression is a^(-1) * b, where a is raised to the power of -1 and b is to the first power.
To simplify the given expression:
(a^2/b^3)^-3 a^5 b^-8
First, we need to simplify the term inside the parentheses.
(a^2/b^3)^-3 = a^-6 / b^-9 = 1/(a^6 * b^9)
Now, substitute this back into the expression:
(1/(a^6 b^9)) a^5 * b^-8
From here, we can combine the terms:
1 a^5 a^-6 b^-8 b^9
= a^5 a^-6 b^-8 b^9
= a^(-1) b
Therefore, the simplified expression is a^(-1) * b, where a is raised to the power of -1 and b is to the first power.