Question

b. (-5)^3

Explanation:

Step1: Recall exponent rule

For a number \(a\) and positive integer \(n\), \(a^n=\underbrace{a\times a\times\cdots\times a}_{n\text{ times}}\). So \((-5)^3 = (-5)\times(-5)\times(-5)\).

Step2: Multiply step by step

First, \((-5)\times(-5)=25\) (because the product of two negative numbers is positive). Then, \(25\times(-5)= - 125\) (because the product of a positive number and a negative number is negative).

Answer:

\(-125\)