Chapter ISG, Problem 7.2.7P

To determine

To verify the statement

Answer to Problem 7.2.7P

The statement is correct

Explanation of Solution

Given information:

An exponential expression.

Calculation:

Let’s assume an exponential expression $\frac{a^{10}}{a^4}$

On solving by using division property of exponents,

= $a^{10-4}$

So, a⁶ is the solution

Now, using multiplication property to solve the same expression,

Changing equation as negative exponents,

  $\frac{a^{10}}{a^4}=a^{10}\times a^{-4}$

Now, solving the expression,

= $a^{10+(-4)}$

And,

= $a^{10-4}$

So, a⁶ is the solution

Both values are correct. Hence, the statement is correct.