The expression in radical form is ![(\sqrt[7]{3x^4y^5}) ^3](https://tex.z-dn.net/?f=%28%5Csqrt%5B7%5D%7B3x%5E4y%5E5%7D%29%20%5E3)
In order to express the given indices expression in radical form, we need to ensure there is a square root present in the resulting expression.
According to the law of indices,
![a^{m/n} = \sqrt[n]{m}](https://tex.z-dn.net/?f=a%5E%7Bm%2Fn%7D%20%3D%20%5Csqrt%5Bn%5D%7Bm%7D)
Given the indices 
Comparing with the general formula, we will see that:
m = 3
n = 7
a = 
Applying the law of indices:
![(3x^4y^5) ^ {3/7} = (\sqrt[7]{3x^4y^5}) ^3](https://tex.z-dn.net/?f=%283x%5E4y%5E5%29%20%5E%20%7B3%2F7%7D%20%3D%20%28%5Csqrt%5B7%5D%7B3x%5E4y%5E5%7D%29%20%5E3)
Hence the expression in radical form is ![(\sqrt[7]{3x^4y^5}) ^3](https://tex.z-dn.net/?f=%28%5Csqrt%5B7%5D%7B3x%5E4y%5E5%7D%29%20%5E3)
Learn more here: brainly.com/question/6755932
Answer:
.
Step-by-step explanation:
To solve this problem, we need to simplify the expression
.
We know that 
Therefore:
.
Answer:
The answer is below
Step-by-step explanation:
a) Natalie basic salary is $300 per week. She is paid a commission of 30% of her total sales for the week. Therefore her total weekly salary per week is given by:
Total weekly salary = Basic salary + Commissions
If Natalie makes $225 in sales, her commission = 30% of $225 = 0.3 × $225 = $67.5
Total weekly salary = Basic salary + Commissions = $300 + $67.5
Total weekly salary = $367.5
b) If Natalie makes $x in sales, her commission = 30% of $x = 0.3 × $x = $0.3x
Total weekly salary = Basic salary + Commissions = $300 + $0.3x
Total weekly salary = $(300 + 0.3x)
Answer: You need to wait at least 6.4 hours to eat the ribs.
t ≥ 6.4 hours.
Step-by-step explanation:
The initial temperature is 40°F, and it increases by 25% each hour.
This means that during hour 0 the temperature is 40° F
after the first hour, at h = 1h we have an increase of 25%, this means that the new temperature is:
T = 40° F + 0.25*40° F = 1.25*40° F
after another hour we have another increase of 25%, the temperature now is:
T = (1.25*40° F) + 0.25*(1.25*40° F) = (40° F)*(1.25)^2
Now, we can model the temperature at the hour h as:
T(h) = (40°f)*1.25^h
now we want to find the number of hours needed to get the temperature equal to 165°F. which is the minimum temperature that the ribs need to reach in order to be safe to eaten.
So we have:
(40°f)*1.25^h = 165° F
1.25^h = 165/40 = 4.125
h = ln(4.125)/ln(1.25) = 6.4 hours.
then the inequality is:
t ≥ 6.4 hours.
Answer:
will you help me with grade 9 math, algebra 2 please
Step-by-step explanation: