(x²y³)½(x²y³)⅓ = x^a/3y^a/2

If the equation above, where a is a constant, is true
for all positive values of x and y, what is the
value of a ?
A) 2
B) 3
C) 5
D) 6

There is a line with slope 1/a going through the point (a, a²). find the equation of the line perpendicular to this line at this point. (don’t let this problem intimidate you! solve the problem as you would if i’d given you specific values. just use variables instead.)

14 pointslet x be the seats in the small van and y the seats in the large van. how many seats does the large van have? a company uses two vans to transport worker from a free parking lot to the workplace between 7: 00 and 9: 00a.m. one van has 9 more seats than the other. the smaller van makes two trips every morning while the larger one makes only one trip. the two vans can transport 69 people, maximum.how many seats does the larger van have?

Calculate the effective quarterly compound interest rate equivalent to a 1% of monthly compound interest rate.