Question

What is the simplified value of the exponential expression 16 Superscript one-fourth?

Answer 1

Answer:

The value of the exponential expression $16^{\frac{1}{4}}$ is 2  

Solution:

16 superscript one-fourth= $16^{\frac{1}{4}}$

As per the problem,  

We have to find the value of $16^{\frac{1}{4}}$  

16 in terms of 2 can be written as $2\times2\times2\times2$

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

=$\left(2^{4}\right)^{\frac{1}{4}}$

As per the exponential rule, $a^{(m)^{n}}=a^{m \times n}$

=$2^{4 \times \frac{1}{4}}$

Here, $4\times\frac{1}{4}=1$

= $2^{1}$

= 2

Hence, the value is 2.

Answer 2

Answer:

The value of the exponential expression 16^1/4 is 2  

Step-by-step explanation:

Reasons.