Answer:
![8 y^{50}](https://tex.z-dn.net/?f=8%20y%5E%7B50%7D)
Step-by-step explanation:
Given (64 y Superscript 100 Baseline) Superscript one-half.
Let us write it into an equation.
![\left(64 y^{100}\right)^{\frac{1}{2}}](https://tex.z-dn.net/?f=%5Cleft%2864%20y%5E%7B100%7D%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D)
Apply radical rule:
and ![a^{m+n}=a^m+a^n](https://tex.z-dn.net/?f=a%5E%7Bm%2Bn%7D%3Da%5Em%2Ba%5En)
![\begin{aligned}\left(64 y^{100}\right)^{\frac{1}{2}} &=\sqrt[2]{64 y^{100}} \\&=\sqrt[2]{8^{2} y^{50} y^{50}} \\&=\sqrt[2]{8^{2}\left(y^{50}\right)^{2}} \\&=8 y^{50}\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cleft%2864%20y%5E%7B100%7D%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%20%26%3D%5Csqrt%5B2%5D%7B64%20y%5E%7B100%7D%7D%20%5C%5C%26%3D%5Csqrt%5B2%5D%7B8%5E%7B2%7D%20y%5E%7B50%7D%20y%5E%7B50%7D%7D%20%5C%5C%26%3D%5Csqrt%5B2%5D%7B8%5E%7B2%7D%5Cleft%28y%5E%7B50%7D%5Cright%29%5E%7B2%7D%7D%20%5C%5C%26%3D8%20y%5E%7B50%7D%5Cend%7Baligned%7D)
Hence,
is equivalent to (64 y Superscript 100 Baseline) Superscript one-half.
Answer:
(- 1, - 5 )
Step-by-step explanation:
Given the 2 equations
y = 3x - 2 → (1)
6 + y = - x → (2)
Substitute y = 3x - 2 into (2)
6 + 3x - 2 = - x
4 + 3x = - x ( add x to both sides )
4 + 4x = 0 ( subtract 4 from both sides )
4x = - 4 ( divide both sides by 4 )
x = - 1
Substitute x = - 1 into (1) for corresponding value of y
y = 3(- 1) - 2 = - 3 - 2 = - 5
solution is (- 1, - 5 )
Just add 8 1/4 inches and 1 7/8 inches.
Answer: 10 1/8 inches
Surface area of sphere is 4(pi)(radius)^2
The diameter is 2 so the radius is 1. The answer is 12.6 if rounded to 1 decimal place.
Answer:
There are 18 one-third cup servings in 6 cups of pecans.
Step-by-step explanation: