Respuesta :
B is correct. Here are the rest of the answers I gave. My score was a 96%
UNIT TEST E2020 Radical Functions
1 B 8y^50
2 C stretched by a factor of 2 and translated 8 units right and 5 units down
3 B m can be any positive real number.
4 B x=4
5 B 1728
6 A x=142
7 GRAPH C
8 A 0.32 KM
9 D 2^3/2
10 A 9.5
11 B sqrt (x-2)
12 D $6778
13 A -6
14 C -1
15 D 7 sqrt (x) = 14
16 B 8
17 C The graph is a vertical shift of the parent function 2 units up.
18 B 4x^4
19 C negative sqrt (x+3)+8
20 B x^2/3
21 D sqrt (x)=15-11
22 GRAPH D
23 GRAPH D
24 A 3
25 C x=2 or x=3
Answer: The correct option is (b) [tex]8y^{50}.[/tex]
Step-by-step explanation: We are given to select the correct expression that is equivalent to the expression below:
[tex]E=(64y^{100})^\frac{1}{2}.[/tex]
We will be using the following properties of exponents:
[tex](i)~(a^b)^c=a^{b\times c},\\\\(ii)~(ab)^c=a^cb^c.[/tex]
We have
[tex]E\\\\=(64y^{100})^\frac{1}{2}\\\\=64^\frac{1}{2}(y^{100})^\frac{1}{2}\\\\=(8^2)^\frac{1}{2}(y^{100})^\frac{1}{2}\\\\=8^{2\times\frac{1}{2}}y^{100\times\frac{1}{2}}\\\\=8y^{50}.[/tex]
Therefore, the required equivalent expression is [tex]8y^{50}.[/tex]
Thus, (b) is the correct option.
