Answer:
5
(3a²b³c)³(2a⁴b²c²)³
= (3a⁶b⁹c³)(8a¹²b⁶c⁶)
= 24a¹⁸b¹⁵c⁹
14
⁴√(81a¹⁶b¹²c⁹)
= (⁴√81)(⁴√a¹⁶)(⁴√b¹²)(⁴√c⁹)
Answer: 3
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. Find the prime factorization of 27:
or 
2. The index of the radical is 3, therefore, you have rewrite it as following:
![\sqrt[3]{27}=\sqrt[3]{3^{3}}=3^{\frac{3}{3}}=3^{1}=3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27%7D%3D%5Csqrt%5B3%5D%7B3%5E%7B3%7D%7D%3D3%5E%7B%5Cfrac%7B3%7D%7B3%7D%7D%3D3%5E%7B1%7D%3D3)
3. Therefore, as you can see, the answer is 3.
Answer:
<em>The student completed 13 courses worth 3 credits</em>
Step-by-step explanation:
<u>System of Equations</u>
Let's assign the following variables:
x = number of courses worth 3 credits
y = number of courses worth 4 credits
Some student completed 18 courses thus:
x + y = 18 [1]
The student earned a total of 59 credits:
3x + 4y = 59 [2]
From [1]:
y = 18 - x
Substituting in [2]:
3x + 4(18 - x) = 59
Operating:
3x + 72 - 4x = 59
Simplifying:
-x = 59 - 72 = -13
x = 13
The student completed 13 courses worth 3 credits
The algebraic expression that represents the total distance traveled by the car is 10s
<h3>How to determine the algebraic expression?</h3>
The given parameters are:
- Speed = s miles per hour
- Time = 10 hours
The distance is calculated using:
Distance = Speed * Time
So, we have:
Distance = s* 10
Evaluate
Distance = 10s
Hence, the algebraic expression that represents the total distance traveled by the car is 10s
Read more about distance and speed at:
brainly.com/question/4931057
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<u>Complete question</u>
Your car travels for 10 hours at an average speed of s miles per hour. Write an algebraic expression that represents the total distance traveled by the car
