Can someone explain why 2x * 2x is 22x. I know you add the exponents so I get the 2x part I just can't understand why the coefficients are not being multiplied by each other. If you raise 2 to the second power, as seen in the answer, then you get 4, but is this only a product of that addition of those exponents?   Thank ya so much for the help!

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter2: Solving Equations
Section2.1: Properties And Operations
Problem 2E
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Can someone explain why 2x * 2x is 22x. I know you add the exponents so I get the 2x part I just can't understand why the coefficients are not being multiplied by each other. If you raise 2 to the second power, as seen in the answer, then you get 4, but is this only a product of that addition of those exponents?

 

Thank ya so much for the help!

Expert Solution
Step 1

We know that,

a"xα- ab+c
Χας =
( αb)e- abχe
abe
a" x bm (αx b)"m
Step 2

Example:

34 x 35
By applying the above formula
34 x 35 34+5 39
Without using the above formula
34 x 35 (3 x 3x 3 x 3) x (3 x 3 x 3 x 3 x 3)
39
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