Sunday, February 6, 2022

Weekly Math Problem #73

Exponents. I found this week's problem on the internet. 👍🏿 We'll be working with exponents this week. For some, working with exponents isn't a big deal. For others, it's confusing/annoying, and I can understand why. No judgment here. So let's take it back to simplifying rational expressions, where the answer should have *positive exponents only*.

To solve this week's problem in completion, you need to recall the following math skills:

        ✔️     Properties/Laws of exponents        

             

WMP! #73 want us to...


Happy solving!

Check back on Saturday, February 12th for the solution, which will be posted below ⬇️.


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✏️📓 Solution Time! 📓✏️
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One of the cool things about math is...there is more than one way to simplify or solve something. 

When I looked at this week's problem, I realized that there were multiple ways for me to use the exponent rules to simplify the rational expression. I settled on the one below. I color-coded it so that it would be easier to follow.


First, I went inside the parentheses and used the rules to ensure that I had positive exponents. (Having a negative coefficient is fine.) Then I used my skills to deal with the negative exponent on the outside of the expression. Lastly, I "distributed" that outer exponent to every portion of the rational expression and completed my simplification. 

I used five different exponent rules to simplify this rational expression. 👩🏿‍🏫


▪️ Were you able to simplify the expression?
▪️ If so, did you do it a different way?
▪️ Let me know what you thought about this week's problem in the comments section. 


Thank you for solving with me this week. ✏️
Up next...WMP
! #74




Cheers!

The Younge Lady

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