What is the value of 1/2^-2x^-3y^5 for x = 2 and y = -4? 16 –4 –1/32 –16

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What is the value of 1/2^-2x^-3y^5 for x = 2 and y = -4? 16 –4 –1/32 –16

Mathematics
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Can you make a stab at it or do you need it explained from the start?
i need it explained please...... sorry
No problem! Why don't you start by writing it out using Draw, so I can understand the question better, please?

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Other answers:

ok no problem
Great!
|dw:1327955488648:dw|
x = 2 and y = -4? so plug that in
Great, let's do that.
|dw:1327955697547:dw|
and i can do the math with the exponents i just need help on what i do with the 1
Well, show me what you get with thte exponents first
Just the answer's fine, if you think it's right, otherwise we can go through the working if it's wrong
2,048 for the exponents im not sure what to do with 1
You;re a bit off with the exponents. Let's see your working out. Then we'll get onto the 1.
Let's start with the first bit: What is this? |dw:1327956095456:dw|
-4
Not quite. How do negative exponents work?
im not sure i was sick when ,y teacher explained this to me and this is off my make up work
No problem, I'll explain it to you :D Btw "I don't know" is an excellent answer at any stage, don't be afraid of saying it!
The rule for negative exponents is this:|dw:1327956265582:dw|
Are you familiar with the general rule:|dw:1327956314617:dw| ?
aha ok :) thank you yeah i am
Well this just takes it a step further. 3^4=81, 3^3=27, 3^2=9, 3^1=3, 3^0=1.
That much you understand already?
yeah i do
Great!
You can see that each time, I reduced the exponent by 1, from 4 to 3 to 2 etc. And the answer got divided by three each time, so from 81 to 27 to 9 to 3 to 1.
Does that make sense?
Or shall I draw it using a picture, if that might help?
yeah i understand what your saying
Great! Then if I take it further, watch what happens: Reducing the exponent by 1, I get 3^-1, and dividing by three on the other side I get 1/3. This continues: 3^-2 = 1/9, 3^-3=1/27 etc. Which is why, as you can see, 3^-x=1/3^x
Did that make sense or should I use draw?
no it made sense i see what your sayinng
Excellent! So now, can you tell me what 2^-2 is?
(Or would you prefer to try the whole question yourself?)
4
Not quite. 2^2=4, so what is 2^-2 ?
-4
Nope, not that either :(
What's the rule we just looked at, for negative exponents?
0.25
|dw:1327957142206:dw|
Did you use your computer's calculator for that or work it out yourself?
See if you can understand the picture I've drawn for you.
i worked it out for myslef
good. how?
calculator :/
THought so :(
im a failure to life goodbye world im gonna kill myself
The rule for negative indices is this:|dw:1327957460830:dw|
No, don' tdo that!
Look at the rule I've given you, do you understand what I've said?
Ah well, well done for trying :)

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