Chapter 1.3, Problem 78MR

To determine

To Evaluate: The expression $3^5-\left(1+{10}^2\right)$

Answer to Problem 78MR

  $3^5-\left(1+{10}^2\right)=142$

Explanation of Solution

Given information:

The expression $3^5-\left(1+{10}^2\right)$

Concept and Formula Used:

Rule of exponent and addition and subtraction.

  $a^n=a\times a\times a\times \mathrm{..................}n\text{ times}\text{.}$

BODMAS rule

Calculation:

The given expression is $3^5-\left(1+{10}^2\right)$

Solving the addition and power inside the bracket

  $\begin{array}{l}{3}^5-\left(1+10\times 10\right)\\ 3^5-\left(1+100\right)\\ 3^5-101\\ \text{Solving the power}\\ 3\times 3\times 3\times 3\times 3-101\\ 243-101\\ 142\end{array}$

Conclusion:

  $3^5-\left(1+{10}^2\right)=142$