would (3x^4/15)^2 be x^8/25 when finally simplified?
To simplify the expression (3x^4/15)^2, we will multiply the numerator and denominator of the fraction inside the parenthesis by itself.
First, let's simplify the numerator:
(3x^4)^2 = 3^2 * (x^4)^2 = 9 * x^(4*2) = 9 * x^8
Now, let's simplify the denominator:
(15)^2 = 225
The simplified expression becomes:
(3x^4/15)^2 = (9 * x^8) / 225
To simplify this further, we can divide both the numerator and the denominator by their greatest common factor, which is 9:
(9 * x^8) / 225 = (1 * x^8) / 25
So finally, the simplified expression is:
(3x^4/15)^2 = x^8/25