For this case, we must simplify the following expression:
![\sqrt [8] {x ^ 2y ^ 6}](https://tex.z-dn.net/?f=%5Csqrt%20%5B8%5D%20%7Bx%20%5E%202y%20%5E%206%7D)
By properties of powers and roots we have to:
![\sqrt [n] {a ^ m}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D)
It can be written equivalently as:
![a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
Then, the previous expression can be written as:
![x ^ {\frac {2} {8}} y ^ {\frac {6} {8}}](https://tex.z-dn.net/?f=x%20%5E%20%7B%5Cfrac%20%7B2%7D%20%7B8%7D%7D%20y%20%5E%20%7B%5Cfrac%20%7B6%7D%20%7B8%7D%7D)
Simplifying we have:
![x ^ {\frac {1} {4}} y ^ {\frac {3} {4}}](https://tex.z-dn.net/?f=x%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B4%7D%7D%20y%20%5E%20%7B%5Cfrac%20%7B3%7D%20%7B4%7D%7D)
Returning to the radical form we have:
![\sqrt [4] {xy ^ 3}](https://tex.z-dn.net/?f=%5Csqrt%20%5B4%5D%20%7Bxy%20%5E%203%7D)
Answer:
![\sqrt [4] {xy ^ 3}](https://tex.z-dn.net/?f=%5Csqrt%20%5B4%5D%20%7Bxy%20%5E%203%7D)
Answer:
<em>33</em>
Step-by-step explanation:
Answer:
2.50 + 2.65x = y
Step-by-step explanation:
The 2.50 fee won't change but the price per mile will, each mile will cost $2.65 more. And since we don't know how many miles the plot is taking, $2.65x. Then the total cost is y
Answer:
Rebecca is incorrect. The equivalent quarterly interest rate is 1.75%.
Explanation:
The formula for compound interest is i = r/n.
r represents the interest rate in decimal form.
n represents the compounding periods in a year.
Calculate the interest rate for 7% compounded quarterly:
Since interest compounded quarterly is four times a year, n = 4.
7% is converted to decimal form by dividing by 100.
7 / 100 = 0.07
r = 0.07
Substitute these into the formula:
i = r/n
= 0.07/4
= 0.0175
0.0175 is in decimal form. To convert it to a percentage, multiply it by 100.
0.0175 X 100 = 1.75%
1.75% ≠ 2%
Therefore, Rebecca is incorrect. The equivalent quarterly interest rate is 1.75%.