Question

Which expression is equivalent to (64y^100)1/2 a.8y10 b.8y50 c.32y10 d.32y50

Answer 1

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 2

Answer: The correct option is (b)
`8y^(50).`

Step-by-step explanation: We are given to select the correct expression that is equivalent to the expression below:

`E=(64y^(100))^(1)/(2).`

We will be using the following properties of exponents:

`(i)~(a^b)^c=a^(b* c),\\\\(ii)~(ab)^c=a^cb^c.`

We have

`E\\\\=(64y^(100))^(1)/(2)\\\\=64^(1)/(2)(y^(100))^(1)/(2)\\\\=(8^2)^(1)/(2)(y^(100))^(1)/(2)\\\\=8^{2*(1)/(2)}y^{100*(1)/(2)}\\\\=8y^(50).`

Therefore, the required equivalent expression is
`8y^(50).`

Thus, (b) is the correct option.