Question

evaluate the exponential expression.
$(-5)^3$
$(-5)^3 = \square$

Explanation:

Step1: Recall the definition of exponentiation

An expression of the form \(a^n\) means multiplying \(a\) by itself \(n\) times. So \((-5)^3\) means \((-5)\times(-5)\times(-5)\).

Step2: Multiply the first two numbers

First, multiply \(-5\) and \(-5\). The product of two negative numbers is positive, so \((-5)\times(-5) = 25\).

Step3: Multiply the result by the third number

Now, multiply the result \(25\) by \(-5\). The product of a positive number and a negative number is negative, so \(25\times(-5)=-125\).

Answer:

\(-125\)