((-4)^4)^-4

Write the following as a number raised to a power. The answer is (-4).
I come out with 1/256^4.

((-4)^4)^-4

Examples:
2^9 * 2^2 = 2^11
6^2 / 5^2 = (6/5)^2 = (1.2)^2
kadinAsked:
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d-glitchCommented:
I agree with your answer.  But parentheses and typography can be tricky.
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Infinity08Commented:
>> I come out with 1/256^4.

Could you simplify that further ? Can you write 256 as a power of 2 ?
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Infinity08Commented:
And a further hint to get you going :

        (3^2)^2 = (3 * 3)^2 = (3 * 3) * (3 * 3) = (3 * 3 * 3 * 3) = 3^4 = 3^(2 * 2)
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kadinAuthor Commented:
256 as a power of 2 = 65536.
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Infinity08Commented:
>> 256 as a power of 2 = 65536.

I didn't mean 256^2
I meant, can you write 256 AS a power of 2. ie. :

        256 = 2^x

What's x ?
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ozoCommented:
> The answer is (-4).
I disagree
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sdstuberCommented:
"the answer is -4"  doesn't make sense given the requirement  a number raised to a power.


is -4 supposed to be the number?

or -4 supposed to be the power?

or neither?

simply resolving the inner most exponentiation will yield

((-4)^4)^-4   = (256)^-4    that's a number raised to a power  but is not -4

can you explain better what you are looking for?

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Raheman M. AbdulSenior Infrastructure Support Analyst & Systems DeveloperCommented:
       -32
= [2]      

this is definitely not equal to -4   since     the above equals to 0.00000000023283064365386962890625
which is not equal to -4

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kadinAuthor Commented:
Write the following as a number raised to a power. The answer is (-4). That's -4 inside parentheses if that matters.

((-4)^4)^-4
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sdstuberCommented:
How can the answer be (-4)  if it's a number raised to a power?

(-4)  is not a number raised to a power
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Infinity08Commented:
>> The answer is (-4). That's -4 inside parentheses if that matters.

My best guess is that they mean that you have to use (-4) as the number, but you need to find the power :

        ((-4)^4)^-4 = (-4)^x

Find x.
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kadinAuthor Commented:
Thanks to all for your help. I will learn more if I just keep moving. Maybe I encounter this again in the future.
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