![\sqrt[8]{48^4}](https://tex.z-dn.net/?f=%20%5Csqrt%5B8%5D%7B48%5E4%7D%20)
can be rewritten as
![48^4](https://tex.z-dn.net/?f=%2048%5E4%20)
to the
![\frac{1}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B8%7D%20)
power:
![(48^4)^ \frac{1}{8}](https://tex.z-dn.net/?f=%2848%5E4%29%5E%20%5Cfrac%7B1%7D%7B8%7D%20)
Now, applying exponent rules (multiply exponent inside parentheses by the one outside parentheses), we get:
![(48^ \frac{1}{2})](https://tex.z-dn.net/?f=%2848%5E%20%5Cfrac%7B1%7D%7B2%7D%29%20)
This is equivalent to
![\sqrt{48}](https://tex.z-dn.net/?f=%20%5Csqrt%7B48%7D%20)
, so now, we just simplify:
![\sqrt{48}= \sqrt{16*3}= \sqrt{16}* \sqrt{3}=4 \sqrt{3}](https://tex.z-dn.net/?f=%20%5Csqrt%7B48%7D%3D%20%20%5Csqrt%7B16%2A3%7D%3D%20%5Csqrt%7B16%7D%2A%20%5Csqrt%7B3%7D%3D4%20%5Csqrt%7B3%7D)
So:
About 400 marbles. You simply set up a proportion and solve it as I did in the photo attached.
Option A:
I and III only the answers.
Solution:
Let white vases be "w" and red vases be "r".
Cost of total flower = $336
Cost of each vase = $11
Total cost of the centerpieces
= Cost of (white vases + red vases) + Cost of flowers
= 11(w + r) + 336
= 11w + 11r + 336
Total cost of the centerpieces = 11w + 11r + 336 = 11(w + r) + 336
Therefore I and III only the answers.
Option A is the correct answer.