Chapter 7.4, Problem 2STP

For Exercises $1-6,$ choose the correct letter.

Which expression is not equal to 125?

F. $5{\left(\frac{5^3}{5}\right)}^2$

G. ${\left(\frac{5^3}{5^4}\right)}^{-3}$

H. $\frac{5^{-2}}{5^{-5}}$

I. $5\left(\frac{5^5}{5^3}\right)$

To determine

To determine which of the given options is not equal to 125.

Answer to Problem 2STP

Option F is correct.

Explanation of Solution

Given information:

Given options are:

  

Here we shall simplify the given expression.

Here we shall solve all the given options.

Solving option F.

  $5{\left(\frac{5^3}{\frac{2}{5}}\right)}^2=5{\left(\frac{125\cdot 5}{2}\right)}^2=488281.25$

Hence the option F is not equal to 125.

All the other options are equal to 125.

Hence the correct option is F.