Question

Which of the following shows the correct solution in simplifying (-5-2 x 3)-1.

Answer 1

The correct solution in simplifying the given mathematical expression is $-\frac{25}{x^3}$.

Given the following data:

• $(-5^{-2}x^3)^{-1}$

To determine the correct solution in simplifying the given mathematical expression:

In this scenario, you're required to simplify the given mathematical expression in its simplest form.

How to simplify a mathematical expression.

Step 1: We would apply the basic law of division for fractions.

$(-5^{-2}x^3)^{-1}=(\frac{-1}{5^2} \times x^3)^{-1}$

Step 2: We would expand the bracket.

$(\frac{-1}{5^2} \times x^3)^{-1}=(\frac{-x^3}{5^2} )^{-1}\\\\(\frac{-x^3}{5^2} )^{-1}=(\frac{-x^3}{25} )^{-1}$

Step 3: We would apply the inverse of fraction.

$(\frac{-x^3}{25} )^{-1}= -\frac{25}{x^3}$

Read more on law of division here: brainly.com/question/19660239