Chapter 9.8, Problem 42S

To determine

To calculate: To evaluate the expression

Answer to Problem 42S

Expression on evaluation is $16$

Explanation of Solution

Given information: Expression is $2^4$

Formula Used:

Exponential identities are

  $x^a{x}^b=x^{a+b}$

  $x^a{y}^a={\left(xy\right)}^a$

  ${\left(x^a\right)}^b={\left(x\right)}^{ab}$

  $\frac{x^a}{x^b}={\left(x\right)}^{a-b}$

Calculation:

Expression is given as

  $2^4$

Evaluating the expression,

  $\begin{array}{l}{2}^4=2\times 2\times 2\times 2\\ 2^4=16\end{array}$

Conclusion:

Hence, on evaluating, expression is $16$