Exploring Division of Terms with Exponents

Hey there, awesome learners! Today, we're diving into something super cool: division with exponents. But don't worry, it's way easier than it sounds!

First, let's talk about exponents. Imagine a tiny math superhero that tells us how many times a number wants to be multiplied by itself. This superhero is the exponent. For instance, in 2², the exponent is 2, meaning we're multiplying 2 by itself 2 times, which gives us 4.

Now, let's mix in division. Think of it as sharing treats with friends. Dividing is all about splitting things equally. Now, here's the fun part: combining division and exponents! To divide numbers with exponents, follow these steps: If you have the expression 8³ ÷ 8², both numbers share the base 8, and the exponents are 3 and 2. First, subtract the smaller exponent from the bigger one (3 - 2 = 1). Then, raise the base (which is 8) to the result (1), giving you 8¹, which is simply 8.

Practice makes perfect, so give it a try! Take 5⁴ ÷ 5³. Subtract the exponents (4 - 3 = 1), then raise the base (5) to the result (1), and voilà! You get 5¹, which is still just 5. With this math magic, you're becoming a division-with-exponents whiz! Keep it up, math stars!

[davidblacklaw]

?? why did he add the 2 unnecessary steps? instead of the second and third last steps he could have just divided numerator and denominator by y

[friedrichfermi]

Bro made the 5 seconds thing in ~60 seconds