When fully simplified, ignoring non-permissible values, 12x^12/4x^3 divided by x^8/24x^6?
a)72x^3
b)1/72x^7
c)1/72x^3
d)72x^7
72x^7
To simplify the given expression, we divide the numerator by the denominator.
First, let's simplify the numerator: 12x^12/4x^3
To divide like terms with the same base (x), we subtract their exponents: 12 - 3 = 9
So, the numerator simplifies to: 12x^9
Now, let's simplify the denominator: x^8/24x^6
To divide like terms with the same base (x), we subtract their exponents: 8 - 6 = 2
So, the denominator simplifies to: x^2
Now, we can rewrite the expression: (12x^9)/(x^2)
To divide the two terms with the same base (x), we subtract their exponents: 9 - 2 = 7
So, the final simplified expression is: 12x^7
Therefore, the answer is: d) 72x^7