anonymous
  • anonymous
What is the value of 1/2^-2x^-3y^5 for x = 2 and y = -4? 16 –4 –1/32 –16
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Can you make a stab at it or do you need it explained from the start?
anonymous
  • anonymous
i need it explained please...... sorry
anonymous
  • anonymous
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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anonymous
  • anonymous
ok no problem
anonymous
  • anonymous
Great!
anonymous
  • anonymous
|dw:1327955488648:dw|
anonymous
  • anonymous
x = 2 and y = -4? so plug that in
anonymous
  • anonymous
Great, let's do that.
anonymous
  • anonymous
|dw:1327955697547:dw|
anonymous
  • anonymous
and i can do the math with the exponents i just need help on what i do with the 1
anonymous
  • anonymous
Well, show me what you get with thte exponents first
anonymous
  • anonymous
Just the answer's fine, if you think it's right, otherwise we can go through the working if it's wrong
anonymous
  • anonymous
2,048 for the exponents im not sure what to do with 1
anonymous
  • anonymous
You;re a bit off with the exponents. Let's see your working out. Then we'll get onto the 1.
anonymous
  • anonymous
Let's start with the first bit: What is this? |dw:1327956095456:dw|
anonymous
  • anonymous
-4
anonymous
  • anonymous
Not quite. How do negative exponents work?
anonymous
  • anonymous
im not sure i was sick when ,y teacher explained this to me and this is off my make up work
anonymous
  • anonymous
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!
anonymous
  • anonymous
The rule for negative exponents is this:|dw:1327956265582:dw|
anonymous
  • anonymous
Are you familiar with the general rule:|dw:1327956314617:dw| ?
anonymous
  • anonymous
aha ok :) thank you yeah i am
anonymous
  • anonymous
Well this just takes it a step further. 3^4=81, 3^3=27, 3^2=9, 3^1=3, 3^0=1.
anonymous
  • anonymous
That much you understand already?
anonymous
  • anonymous
yeah i do
anonymous
  • anonymous
Great!
anonymous
  • anonymous
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.
anonymous
  • anonymous
Does that make sense?
anonymous
  • anonymous
Or shall I draw it using a picture, if that might help?
anonymous
  • anonymous
yeah i understand what your saying
anonymous
  • anonymous
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
anonymous
  • anonymous
Did that make sense or should I use draw?
anonymous
  • anonymous
no it made sense i see what your sayinng
anonymous
  • anonymous
Excellent! So now, can you tell me what 2^-2 is?
anonymous
  • anonymous
(Or would you prefer to try the whole question yourself?)
anonymous
  • anonymous
4
anonymous
  • anonymous
Not quite. 2^2=4, so what is 2^-2 ?
anonymous
  • anonymous
-4
anonymous
  • anonymous
Nope, not that either :(
anonymous
  • anonymous
What's the rule we just looked at, for negative exponents?
anonymous
  • anonymous
0.25
anonymous
  • anonymous
|dw:1327957142206:dw|
anonymous
  • anonymous
Did you use your computer's calculator for that or work it out yourself?
anonymous
  • anonymous
See if you can understand the picture I've drawn for you.
anonymous
  • anonymous
i worked it out for myslef
anonymous
  • anonymous
good. how?
anonymous
  • anonymous
calculator :/
anonymous
  • anonymous
THought so :(
anonymous
  • anonymous
im a failure to life goodbye world im gonna kill myself
anonymous
  • anonymous
The rule for negative indices is this:|dw:1327957460830:dw|
anonymous
  • anonymous
No, don' tdo that!
anonymous
  • anonymous
Look at the rule I've given you, do you understand what I've said?
anonymous
  • anonymous
Ah well, well done for trying :)

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