Question

What is the value of the exponential expression below ?

Answer 1

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.

Answer 2

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

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

$E=16^\frac{1}{2}.$

We will be using the following property of exponents:

$(i)~(a^b)^c=a^{b\times c}.$

We have

$E\\\\=16^\frac{1}{2}\\\\=(4^2)^\frac{1}{2}\\\\=4^{2\times \frac{1}{2}}\\\\=4^1\\\\=4.$

Thus, the required value of the expression is 4.

Hence, option (A) is correct.