Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Like
Bonus Knowledge
To multiply
, you first combine the coefficients and the variables separately. Here,
is the coefficient, and for the variables, you add their exponents since they have the same base. So,
. Therefore, you get
as the final result!
Now, let’s break down why we’re allowed to add the exponents: it’s due to the properties of exponents, which state that when multiplying like bases, you simply add the exponents together! This rule allows math to stay organized and succinct, ensuring calculations remain straightforward. Fun fact: this principle can be traced back to ancient civilizations like the Greeks and Babylonians who laid the groundwork for modern algebra!