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:

$E=(64y^{100})^\frac{1}{2}.$

We will be using the following properties of exponents:

$(i)~(a^b)^c=a^{b\times c},\\\\(ii)~(ab)^c=a^cb^c.$

We have

$E\\\\=(64y^{100})^\frac{1}{2}\\\\=64^\frac{1}{2}(y^{100})^\frac{1}{2}\\\\=(8^2)^\frac{1}{2}(y^{100})^\frac{1}{2}\\\\=8^{2\times\frac{1}{2}}y^{100\times\frac{1}{2}}\\\\=8y^{50}.$

Therefore, the required equivalent expression is $8y^{50}.$

Thus, (b) is the correct option.