SOLUTION: 1. what is the product of (6x)squared and (2x) to the negative fourth power? 2. the base of a triangle is 5xy to the third and the height is 3x squared y, what is the area of a tr

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: 1. what is the product of (6x)squared and (2x) to the negative fourth power? 2. the base of a triangle is 5xy to the third and the height is 3x squared y, what is the area of a tr      Log On


   

Question 151177: 1. what is the product of (6x)squared and (2x) to the negative fourth power?
2. the base of a triangle is 5xy to the third and the height is 3x squared y, what is the area of a triangle?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
1. what is the product of (6x)squared and (2x) to the negative fourth power?
2. the base of a triangle is 5xy to the third and the height is 3x squared y, what is the area of a triangle?
.
#1:
+%286x%29%5E2+%2A+%282x%29%5E%28-4%29+
"Power rules" says that when you have a negative power, you could move it to the denominator to make it a positive power. Thus:
+%286x%29%5E2+%2F%282x%29%5E4+
Now, you can start reducing:
+%2836x%5E2%29+%2F%2816x%5E4%29+
+%289x%5E2%29+%2F%284x%5E4%29+
+%289%29+%2F%284x%5E2%29+
.
.
#2:
I believe you are saying:
base is 5xy^3
height is 3x^2y
.
Area for any triangle is (1/2)bh
where
b is base
h is height
.
So, now we have:
+%281%2F2%29bh+
+%281%2F2%29%285xy%5E3%29%283x%5E2y%29+
+%281%2F2%29%285xy%5E4%29%283x%5E2%29+
+%281%2F2%29%285x%5E3y%5E4%29%283%29+
+%2815x%5E3y%5E4%29%2F2+
Please write back if my assumptions were incorrect.