ANSWER
The exponent of x is -45 and the exponent of y is 0.
EXPLANATION
We want to simplify:
![\frac{ {x}^{8} { y}^{ - 26} }{ {x}^{14} {y}^{ - 5} \times {x}^{39} {y}^{ - 21} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7Bx%7D%5E%7B8%7D%20%7B%20y%7D%5E%7B%20-%2026%7D%20%20%7D%7B%20%7Bx%7D%5E%7B14%7D%20%7By%7D%5E%7B%20-%205%7D%20%5Ctimes%20%20%7Bx%7D%5E%7B39%7D%20%20%7By%7D%5E%7B%20-%2021%7D%20%7D%20)
Recall and use
![{a}^{m} \times {a}^{n} = {a}^{m + n}](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7Bm%7D%20%20%5Ctimes%20%20%7Ba%7D%5E%7Bn%7D%20%20%3D%20%20%7Ba%7D%5E%7Bm%20%2B%20n%7D%20)
![= \frac{ {x}^{8} { y}^{ - 26} }{ {x}^{14 + 39} {y}^{ - 5 + - 21} }](https://tex.z-dn.net/?f=%3D%20%20%5Cfrac%7B%20%7Bx%7D%5E%7B8%7D%20%7B%20y%7D%5E%7B%20-%2026%7D%20%20%7D%7B%20%7Bx%7D%5E%7B14%20%2B%2039%7D%20%7By%7D%5E%7B%20-%205%20%2B%20%20-%2021%7D%20%7D%20)
![= \frac{ {x}^{8} { y}^{ - 26} }{ {x}^{53} {y}^{ - 26} }](https://tex.z-dn.net/?f=%3D%20%20%5Cfrac%7B%20%7Bx%7D%5E%7B8%7D%20%7B%20y%7D%5E%7B%20-%2026%7D%20%20%7D%7B%20%7Bx%7D%5E%7B53%7D%20%7By%7D%5E%7B%20%20-%2026%7D%20%7D%20)
Also recall and apply,
![\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7Ba%7D%5E%7Bm%7D%20%7D%7B%20%7Ba%7D%5E%7Bn%7D%20%7D%20%20%3D%20%20%7Ba%7D%5E%7Bm%20-%20n%7D%20)
![={x}^{8 - 53} { y}^{ - 26 - - 26}](https://tex.z-dn.net/?f=%3D%7Bx%7D%5E%7B8%20-%2053%7D%20%7B%20y%7D%5E%7B%20-%2026%20-%20%20-%2026%7D%20%20)
![={x}^{ - 45} { y}^{ 0}](https://tex.z-dn.net/?f=%3D%7Bx%7D%5E%7B%20-%2045%7D%20%7B%20y%7D%5E%7B%200%7D%20%20)
The exponent of x is -45 and the exponent of y is 0.
Answer:
A = 96
Step-by-step explanation:
A = bh
A = 12(8)
96 = 12(8)
Formula:
![y = p\% \times x](https://tex.z-dn.net/?f=y%20%3D%20p%5C%25%20%5Ctimes%20x)
![p = 37\% \div 100 = 0.37](https://tex.z-dn.net/?f=p%20%3D%2037%5C%25%20%5Cdiv%20100%20%3D%200.37)
![y = 0.37 \times 1500 = 555](https://tex.z-dn.net/?f=y%20%3D%200.37%20%5Ctimes%201500%20%3D%20555)
so there are 555 woman working.
![1500 - 555 = 945](https://tex.z-dn.net/?f=1500%20-%20555%20%3D%20945)
there are 945 men working
Answer:
yes
Step-by-step explanation:
There are several ways to go at this.
My first choice is to use a graphing calculator. It shows the function has a zero at x=5, so x-5 is a factor.
Another good choice is to use synthetic division (2nd attachment). If the remainder is zero, then x-5 is a factor. It is and it is.
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You can also evaluate the function at x=5. The remainder theorem tells you that if the value is zero, then x-5 is a factor. Evaluating the polynomial written in Horner form is a lot like synthetic division.
(((x -4)x -15)x +58)x -40 for x=5 is ... (-10·5 +58)5 -40 = 40-40 = 0
The value of h(5) is zero, so x-5 is a factor of h(x).
Answer:
The answer is 42
Step-by-step explanation:
Ed2020