Chapter 7.10, Problem 15OE

To determine

To evaluate:

The value of the given number

Answer to Problem 15OE

The value of given operation is $\frac{1}{{\left(10\right)}^4}$

Explanation of Solution

Given:

The order of operation

  $\frac{{\left(10\right)}^8}{{\left(10\right)}^6\times {\left(10\right)}^6}$

Concept used:

Product means the answer to a multiplication problem

Sum means the total amount resulting from the addition of two or more numbers amounts or items

Quotientmeansa result obtained by dividing one quantity by another

Calculation:

The order of operation

  $\begin{array}{l}=\frac{{\left(10\right)}^8}{{\left(10\right)}^6\times {\left(10\right)}^6}\\ =\frac{{\left(10\right)}^8}{{\left(10\right)}^{12}}\\ ={\left(10\right)}^{8-12}\\ ={\left(10\right)}^{-4}\\ =\frac{1}{{\left(10\right)}^4}\end{array}$

Therefore,

The value of given operation is $\frac{1}{{\left(10\right)}^4}$