simplify aab-3/Ba^2b-2
To simplify the expression aab-3/Ba^2b-2, we can follow these steps:
Step 1: Simplify the numerator.
The numerator aab-3 can be simplified by combining the 'a's and applying the exponent law for dividing powers with the same base.
aab-3 = aa/b^3 = a^2/b^3
Step 2: Simplify the denominator.
The denominator Ba^2b-2 can be simplified by combining the 'b's and applying the exponent law for dividing powers with the same base.
Ba^2b-2 = Ba^2/b^2
Step 3: Simplify the expression.
Now that we have simplified both the numerator and the denominator, we can divide the numerator by the denominator.
(a^2/b^3) / (Ba^2/b^2)
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
(a^2/b^3) * (b^2/Ba^2)
Next, cancel out the common factors between the numerator and denominator.
(a^2 * b^2) / (b^3 * Ba^2)
Finally, rearrange the terms in the numerator and denominator.
(a^2 * b^2) / (a^2 * b^3 * B)
The final simplified expression is:
b^2 / (b^3 * B)