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Thread starter 8 years ago
#1
This question really confuses me trying to solve it:

Simplify:

(0.0001/t^8)^-3/4

I never get the answer, which is 100t^6.

Please help,  0
8 years ago
#2
(Original post by iPthreefifthteen)
This question really confuses me trying to solve it:

Simplify:

(0.0001/t^8)^-3/4

I never get the answer, which is 100t^6.

Please help,  The answer is 1000t^6.

Represent 0.0001 as a fraction, then you know that x^(-t) = 1/x^t and then indice laws and so on.
1
8 years ago
#3
As said above, the answer is actually 1000t^6. Here's a clue for your working:

(0.0001/t^8)^-3/4
= (t^8/0.0001)^3/4
= (10000*t^8)^3/4
... can you do the last 2 steps?
1
Thread starter 8 years ago
#4
(Original post by tomthecool)
As said above, the answer is actually 1000t^6. Here's a clue for your working:

(0.0001/t^8)^-3/4
= (t^8/0.0001)^3/4
= (10000*t^8)^3/4
... can you do the last 2 steps?
Thank you, Yes it's clear to me know it must be a typo error on the crappy edexcel book.

I think the last 2 step are:

1.) t^8 * 3/4 = 8/1 * 3/4 = 24/4 = 6 therefore t^6

2.) the same step as above didn't work for me i.e 10000/1 * 3/4 = 7500, but instead I found that if I * the power by ^3 and then square root it twice I get a 1000.

Finally if you times them together you get 1000t^6 , step 2 was a bit unclear for me but I think if I ever come across something similar then I'll just have to stick with that method.
0
8 years ago
#5
(Original post by iPthreefifthteen)
Thank you, Yes it's clear to me know it must be a typo error on the crappy edexcel book.

I think the last 2 step are:

1.) t^8 * 3/4 = 8/1 * 3/4 = 24/4 = 6 therefore t^6

2.) the same step as above didn't work for me i.e 10000/1 * 3/4 = 7500, but instead I found that if I * the power by ^3 and then square root it twice I get a 1000.

Finally if you times them together you get 1000t^6 , step 2 was a bit unclear for me but I think if I ever come across something similar then I'll just have to stick with that method.  A number to the power of 3/4 doesn't mean multiply it by 0.75.
0
Thread starter 8 years ago
#6
How come it works with t^8, 8/1 * 3/4 = 24/4 = t^6?

That's the only thing that baffles me.
0
8 years ago
#7
(Original post by iPthreefifthteen)
How come it works with t^8, 8/1 * 3/4 = 24/4 = t^6?

That's the only thing that baffles me. following indice laws. It's just a coincidence.
0
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