Chapter 1.4, Problem 28P

Simplify each expression. Justify each step.

$\left(6^7\right)\left(5^3+2\right)(2-2)$

To determine

To write: $\left(6^7\right)\left(5^3+2\right)\left(2-2\right)$ in the simplified form.

Answer to Problem 28P

  $0$

Explanation of Solution

Given The expression: $\left(6^7\right)\left(5^3+2\right)\left(2-2\right)$

To simplify the expression $\left(6^7\right)\left(5^3+2\right)\left(2-2\right)$ , rules of order of operations are to be followed.

According to it, first parenthesis is solve, then exponent, then division, then multiplication, then addition and lastly subtraction.

So, here first parenthesis is solved.

  $\left(6^7\right)\left(5^3+2\right)\left(2-2\right)=\left(6^7\right)\left(5^3+2\right)\left(0\right)$

Now, any number multiplied by 0 becomes 0. Thus,

  $\begin{array}{c}\left(6^7\right)\left(5^3+2\right)\left(2-2\right)=\left(6^7\right)\left(5^3+2\right)\left(0\right)\\ =0\end{array}$