Simplify the expression.
the quantity x to the three halves power end quantity to the power of 6
a. x to the power of one ninth
b. x to the power of one sixth
c. x to the power of six
d. x to the power of nine

  D. x to the power of nine

Step-by-step explanation:

The applicable rule of exponents is ...

  (x^a)^b = x^(ab)

You have a=3/2, b=6, so ab = 3/2·6 = 9.

  (x^(3/2))^6 = x^(3/2·6) = x^9

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !

i think the answer is b.

step-by-step explanation:

not 100% sure though.