Question
Studdy Solution
STEP 1
What is this asking? Multiply these two algebraic expressions together and simplify the result. Watch out! Remember your exponent rules, and don't forget that *a* means *a*1!
STEP 2
1. Rewrite the expression
2. Multiply the coefficients
3. Multiply the variables
STEP 3
Alright, let's **rewrite** our problem to make it super clear what we're multiplying!
We have .
Remember that *a* is the same as *a*1 and *b* is the same as *b*1.
So, let's rewrite it as .
This makes it much easier to see what's going on!
STEP 4
Now, let's **multiply** those **coefficients**!
We have a **5** in the first term and an invisible **1** in front of the second term.
So, .
Easy peasy!
STEP 5
Time to tackle those **variables**!
When we multiply variables with the same base, we *add* their exponents.
Let's start with *a*.
We have *a*1 times *a*1.
So, , which gives us *a***2**.
STEP 6
Now for the *b*'s.
We have *b*1 times *b*2.
Adding those exponents, we get , which gives us *b***3**.
STEP 7
Let's put it all together!
We have our **coefficient 5**, *a***2**, and *b***3**.
So, our **final expression** is !
STEP 8
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