PLEASE!!!!! You are saving my but can you please help me wtih this math work... these are the ones that i am having tons of trouble with.... when I put ^426 before the √ it is because there is a little 426 in front of the square rooted number...
#1. ^426 √ (a + b)^426
#2. Rewrite with rational exponents: ^4 √xy^3z
THANK YOU SOOO MUCH!!
2007-12-26 15:19:24 · 3 answers · asked by Tank 2 in Science & Mathematics ➔ Mathematics
When you have the little number (called the "index") on the outside left of the radical (funny "division"-looking sign), that tells you the root you are looking for. We don't write the "2" when we are taking the square root because math people are lazy and don't feel like writing the two when that is the most common root taken.
In your first problem, you are taking the 426th root of (a + b)^426. That means this -- you are looking for a factor inside the radical that occurs 426 times. Since your (a + b) is raised to the 426, that is used as a factor 426 times! Woohoo! So the answer to #1 is (a + b).
It might be easier to see the following example: If I am taking the square root of nine, you should know that the answer is 3 because 3*3 is nine.
√ 9 = √ (3*3) = √ 3^2 which is 3
Do you see how the index (invisible two) and the power under the radical are the same?
On to #2!!!!
Again, math people are lazy so we use fractional notation in our exponents to note roots. The index will be your denominator and the power attached to the number/variable will be your numerator.
^4√ xy^3z
I am going to spread it out a little....
^4√ x^1 y^3 z^1
So, using what I wrote above, you have the following....
x^(1/4)y^(3/4)z^(1/4)
Hope that helps!!
2007-12-26 15:37:10 · answer #1 · answered by Sage B 4 · 0⤊ 0⤋
#1: a+b
#2: (x * z) ^ (1/4) * y ^ (3/4)
2007-12-26 15:24:17 · answer #2 · answered by MTL 3 · 0⤊ 0⤋
You have a weird textbook. Could you copy the page to one of those internet sites which shows it and tell us how to access it?
2007-12-26 15:25:31 · answer #3 · answered by cattbarf 7 · 1⤊ 0⤋