Answer:
Step-by-step explanation:
Since the denominator of each of those rational exponents is a 4, that means that the radical is a 4th root. The numerator of each exponent serves as the power on the given base. For example,
can be rewritten as
![\sqrt[5]{2^3}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B2%5E3%7D)
The little number that sits outside the radical, resting in the bend, is called the index. Our index is 4 (same as saying the 4th root). Put everything under the 4th root and let the numerator be the powers on each base:
which is written simpler as:
![\sqrt[4]{6b^3c}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B6b%5E3c%7D)
Answer:
C.
Step-by-step explanation:
divide 100 and dive 15 by 5
The answer to this question is 12
Answer:
![72\pi\ in^{3}](https://tex.z-dn.net/?f=72%5Cpi%5C%20in%5E%7B3%7D)
Step-by-step explanation:
step 1
<em>Calculate the volume of the cylinder (flower vase)</em>
The volume is equal to
![V=\pi r^{2}h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E%7B2%7Dh)
we have
-----> the radius is half the diameter
![h=12\ in](https://tex.z-dn.net/?f=h%3D12%5C%20in)
substitute the values
------> exact value
step 2
Calculate 2/3 of the volume
![V=(2/3)108\pi=72\pi\ in^{3}](https://tex.z-dn.net/?f=V%3D%282%2F3%29108%5Cpi%3D72%5Cpi%5C%20in%5E%7B3%7D)