Last week we worked on exponents. At first, it was difficult, then I started to get it. So here is the rules of multiplying and dividing numbers with exponents.
When your multiplying 2 exponents, you add them together.
(x^4)*(x^2)= (x^6)
When dividing 2 exponents, you subtract the exponents
(y^6)/(y^3)=(y^3)
When you are taking an exponent by another exponent, you always multiply
(z^5)^4=(z^20)
So that’s all the rules of multiplying and dividing numbers with exponents.
Last week we learned how to find the square root of irrational numbers. At first I didn’t get it, then it started getting easier as we practiced more. So let’s try to do one.
Let’s say we need to try to find the square root of 32. First we figure out what rational numbers are around it. For 32 it would be 36 and 25, because 5*5 is 25 and 6*6 is 36. Since the number is closer to 36, the decimal is closer to 6.
Now we need to multiply decimals around 5.5 to 5.9 to see if they equal 32 or close to.
5.6*5.6=31.36, 5.7*5.7=32.49, 5.8*5.8=33.64
So we can conclude that the square root of 32 is around 5.7.
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