Question

Which of the following is equivalent to

a.6
b.8
c.12
d.64​

Answer 1

B. 8

Explanation:

First, apply the exponent rule and multiply 3/2 by 1/2 to get 3/4.

Then, factor the number 16 to get 2^4.

Next, use the exponent rule again and multiply 4 by 3/4 and get 12/4.

Then, simplify that to get 3.

Now, you have 2^3.

Simplify that and you have 8.

Answer 2

b 8

Explanation:

We know that a^b^c = a^(b*c)

16 ^ 3/2 ^ 1/2

16 ^(3/2*1/2)

16^3/4

Replace 16 by 2^4

2^4 ^3/4

2^(4*3/4)

2 ^3

8