Given expression in exponential form : 
.
We need to convert it into radical form.
<em>Please note: When we convert an exponential to radical form, the top number goes in the exponent of the term and bottom number of the fraction goes in the radical sign to make it nth radical.</em>
We can apply following rule:
![(a)^{\frac{m}{n}}= \sqrt[n]{x^m}](https://tex.z-dn.net/?f=%28a%29%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%3D%20%5Csqrt%5Bn%5D%7Bx%5Em%7D)
.
Therefore,
![a^{\frac{4}{9} }= \sqrt[9]{a^4}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7B4%7D%7B9%7D%20%7D%3D%20%5Csqrt%5B9%5D%7Ba%5E4%7D)
.
Therefore, correct option is : D. ninth root of a to the fourth power.
Answer:
x nth term =6–3(n-1)
Step-by-step explanation:
Since they start at 6 its X nth term n=6- but since the since one is 6 its 3(n-1) so x nth term=6-3(n-1)
Answer: 1 1/4feet
Step-by-step explanation:
From the question, we are informed that the depth of the water in the pool changes by −3/4 foot every hour and that the depth of the water was 5 feet when she started draining.
The depth of the water after 5 hours will be:
= 5 - 3/4(5)
= 5 - 15/4
= 5 - 3 3/4
= 1 1/4 feet
Answer:
20.25 pi
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
9 pi = 2 * pi *r
Divide each side by 2pi
9pi / 2 pi = 2 pi r / 2 pi
4.5 = r
Now we can find area
A = pi r^2
= pi ( 4.5)^2
20.25 pi
