Option B:
is the equivalent expression to the given expression.
Solution:
Given expression:
![$\sqrt[4]{9} ^{\frac{1}{2}x}](https://tex.z-dn.net/?f=%24%5Csqrt%5B4%5D%7B9%7D%20%5E%7B%5Cfrac%7B1%7D%7B2%7Dx%7D)
To find the equivalent expression to the given expression.
Using radical rule: ![$\sqrt[n]{a}=a^{\frac{1}{n}}](https://tex.z-dn.net/?f=%24%5Csqrt%5Bn%5D%7Ba%7D%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D)
So that ![$\sqrt[4]{9} = 9^{\frac{1}{4} }](https://tex.z-dn.net/?f=%24%5Csqrt%5B4%5D%7B9%7D%20%3D%209%5E%7B%5Cfrac%7B1%7D%7B4%7D%20%7D)
.
![$\sqrt[4]{9} ^{\frac{1}{2}x}=\left(9^{\frac{1}{4}}\right)^{\frac{1}{2} x}](https://tex.z-dn.net/?f=%24%5Csqrt%5B4%5D%7B9%7D%20%5E%7B%5Cfrac%7B1%7D%7B2%7Dx%7D%3D%5Cleft%289%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%20x%7D)
Using exponent rule: 
![$\sqrt[4]{9} ^{\frac{1}{2}x}=9^{\frac{1}{8}x}](https://tex.z-dn.net/?f=%24%5Csqrt%5B4%5D%7B9%7D%20%5E%7B%5Cfrac%7B1%7D%7B2%7Dx%7D%3D9%5E%7B%5Cfrac%7B1%7D%7B8%7Dx%7D)
Hence is the equivalent expression to the given expression.
Option B is the correct answer.
Taylor needs to roll a 4, 5, or 6 to win. (3rd option).
A dice has six numbers that might come up in any roll. Taylor needs one of the three named above in order to win.
She has three chances to win the game with the sides 4, 5, or 6. This is half the amount of all the six sides of a dice that she rolls (1, 2, 3, 4, 5, 6).
Answer:
117 ft
Step-by-step explanation:
10 x 18 = 180
9 x 7 = 63
180 - 63 = 117
Answer:
84.82 inches squared
Step-by-step explanation:
Volume of a sphere formula
Volume=4/3(pi)r^2
r=4.5
therefore
4/3*pi*(4.5)^2=84.8230016469244 inches squared
round to whatever many decimal places
84.82 inches squared
