I havne't done this kind of math since highschool and I know it's easy, but I can't figure it out for the life of me. Can someone break it down so I can figure this junk out.
I havne't done this kind of math since highschool and I know it's easy, but I can't figure it out for the life of me. Can someone break it down so I can figure this junk out.
I haven't done math in a while either, but let me try, my thought process might be similar. I'm using a calculator here for the arithmetic and exponents. This is just my attempt, it may or may not be right.
I spoilered the answers in case you want to do it yourself. To do exponents you can just get a calculator (I used the Windows one) and find a key like x^y where x is the number and y is the exponent, like -1/3 or something.
Break the problem into three parts.
1.) 64X to the sixth power is
68,719,476,736X
Now raise that to the -1/3rd power and you get
4,096X
2.) 2Y to the -1 power is
0.5Y
3.) 2XY to second power (squared) is
4XY
Now to combine them...and where I get a little foggy.
4,096X times 0.5Y
(answer from steps 1 and 2) gives you
2,048XY
(I think you just take care of the numbers then add in the variables, X and Y)
2,048XY times 4XY
(answer from the previous part and step 3) and your final answer is
8,192XY^2
(I think you take care of the numbers again and add in the variables, which are now squared because there's two of X and two of Y)
The numbers are probably right,
8,192
is a nice clean exponent of 2. Not sure about the variables, though. I don't know if you can stick em together like that, and if you just square them because there's two of each.
CycloneRanger, I'm assuming he wants to simplify it, and if so, I concur with the wook. The key things to keep in mind when dealing with exponents are:
1. Negative exponent=reciprocal
2. Fractional exponent=radical
3. Watch your parentheses carefully, and make sure you know exactly what is, and what isn't, being raised to any given exponent. That's where Raere ran into trouble.
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No man should have that kind of power.(Twitter)
x^-4 = 1/x^4
2x^-4 = 2/x^4
fractional exponents are equivalent to that root
x^1/2 = sqrt(x)
x^1/3 = third root of x
I haven't done math in a while either, but let me try, my thought process might be similar. I'm using a calculator here for the arithmetic and exponents. This is just my attempt, it may or may not be right.
I spoilered the answers in case you want to do it yourself. To do exponents you can just get a calculator (I used the Windows one) and find a key like x^y where x is the number and y is the exponent, like -1/3 or something.
Break the problem into three parts.
1.) 64X to the sixth power is
2.) 2Y to the -1 power is
3.) 2XY to second power (squared) is
Now to combine them...and where I get a little foggy.
The numbers are probably right,
You need to give us a lot more information.
64x^6 equals 64(x^6), not (64x)^6
2y^-1 = 2/y
(2xy)^2 = 4x^2y^2
(1/(4x^2)) (2/y) (4x^2y^2)
the 4x^2 in the denominator of the first term cancels the 4x^2 in the numerator of the third, so you get
1 (2/y) (y^2)
the y in the denominator of the second term is cancelled by one of the ys in the third, so you get
1 * 2 * y = 2y
unless i've radically missed my mark
1. Negative exponent=reciprocal
2. Fractional exponent=radical
3. Watch your parentheses carefully, and make sure you know exactly what is, and what isn't, being raised to any given exponent. That's where Raere ran into trouble.
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