Since the 2 and x^1/4 are multiplying we can do the math separately and then just multiply them afterwards
2^-4 is the same as 1/(2^4) which is 1/16
(x^1/4)^-4 (POWER RULES REVIEW)
2 exponents of same base you just add (basically multiply the two)
so x^(1/4x-4) = x^(-1)
which is just 1/x
so the answer is 1/16x
The answer for question 4 is C and the answer for question 5 is D.
Answer:
482.70
Step-by-step explanation:
First, find out how much he earned per hour last week. 576.56 divided by 43 is 13.41.
Second, multiply his hourly earnings by 1.2, 1.2*13.41=16.09 So he earns 16.09 per hour
Lastly, multiply 16.09 by 30, 16.09*30=482.7 So he earns about $482.70 each week.
Consider, please, this solution/explanation:
1. suppose, that number of cars is 'x', numbers of buses is 'y'.
2. according to the condition 'a total of 32', it means that x+y=32. This is the 1st equation.
3. according to the condition in one car are 3x persons, in one bus are 27y persons, and totaly 3x+27y=408 people. This is the 2d equation.
4. if to solve the system of two equations:

Answer: 13 - b., 19 - c.