Chapter 1.2, Problem 9P

Simplify each expression.

$4^4(5)+3(11)$

To determine

To Simplify: The expression $4^4\left(5\right)+3\left(11\right)$

Answer to Problem 9P

The value of the expression $4^4\left(5\right)+3\left(11\right)$ is $\text{1313}$

Explanation of Solution

Given information:

The expression $4^4\left(5\right)+3\left(11\right)$

Concept and Formula Used:

Rule of exponent and addition and subtraction.

  $a^n=a\times a\times a\times \mathrm{..................}n\text{ times,}\sqrt[n]{a}={\left(a\right)}^{\frac{1}{n}}\&{\left(a^m\right)}^n=a^{mn}$

Order of operation.

Calculation:

The given expression is

  $\begin{array}{l}{4}^4\left(5\right)+3\left(11\right)\\ \text{Evaluate the power }\\ 4^4\left(5\right)+3\left(11\right)=256\left(5\right)+3\left(11\right)\\ 4^4\left(5\right)+3\left(11\right)\text{=1280+33 }\left(\text{Multiply expression left to right}\right)\\ 4^4\left(5\right)+3\left(11\right)\text{=1313 }\left(\text{Add the numbers}\right)\end{array}$

Conclusion:

The value of the expression $4^4\left(5\right)+3\left(11\right)$ is $\text{1313}$