Chapter 1.4, Problem 1LC

To determine

To Evaluate: The expression $\frac{{2.8}^2-2^2.8}{2.8}$

Answer to Problem 1LC

  $\frac{{2.8}^2-2^2.8}{2.8}=6$

Explanation of Solution

Given information:

The expression $\frac{{2.8}^2-2^2.8}{2.8}$

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 $\frac{{2.8}^2-2^2.8}{2.8}$

  $\begin{array}{l}\frac{2\times 8\times 8-2\times 2\times 8}{2\times 8}\\ =\frac{128-32}{16}\\ =\frac{96}{16}\\ =6\end{array}$

Conclusion:

  $\frac{{2.8}^2-2^2.8}{2.8}=6$