Question

What is the value of the exponential expression below ?

Answer 1

Answer: The correct option is (A). 4.

Step-by-step explanation: We are given to find the value of the following exponential expression:

`E=16^(1)/(2).`

We will be using the following property of exponents:

`(i)~(a^b)^c=a^(b* c).`

We have

`E\\\\=16^(1)/(2)\\\\=(4^2)^(1)/(2)\\\\=4^{2* (1)/(2)}\\\\=4^1\\\\=4.`

Thus, the required value of the expression is 4.

Hence, option (A) is correct.

Answer 2

x^(1/2) means that you are taking the square root of some number. You can use this symbol on your calculator √ . So √16 is 4. The 1/2 in this case is a power.

Put it in your calculator this way.

√

16

=

It should come up as 4.

So the answer is A.