In simplified form, 24x^4z^-2
--------- = ?
8x^-3z
A. 3x
---
z
B. 16x^7
-----
z
C. 3x^7
----
z^3
D. 16xz
E. 3x^7z^3
I'm sorry that this game out messed up.
In simplified form, 24x^4z^-2 / 8x^-3z = ?
A. 3x / z
B. 16x^7 / z
C. 3x^7 / z^3
D. 16xz
E. 3x^7z^3
either c or E
24/8 = 3
x^4/x^-3 = x^7
z^-2/z = z^-3
Looks like C to me
To simplify the expression (24x^4z^-2) / (8x^-3z), we can start by simplifying the numerator and denominator separately.
Numerator (24x^4z^-2):
- The number 24 can be divided by 8 to give 3.
- The variable x^4 can be divided by x^-3, which leads to x^(4-(-3)) = x^7.
- The variable z^-2 can be rewritten as 1/z^2.
So, the numerator simplifies to 3x^7z^-2.
Denominator (8x^-3z):
- The variable x^-3 can be rewritten as 1/x^3.
- There is no simplification possible for the variable z.
So, the denominator remains as 8x^-3z.
Now that we have simplified the numerator and denominator, we can rewrite the fraction as:
(3x^7z^-2) / (8x^-3z)
Simplifying further, we can divide the variables x^7 by x^-3, which results in x^(7-(-3)) = x^10. Additionally, we can divide z^-2 by z to give z^-1.
Therefore, the expression simplifies to:
(3x^10z^-1) / (8)
To summarize, in simplified form, the expression is:
(3x^10z^-1) / (8)
The correct answer choice is:
C. 3x^7 / z^3