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((-4)^4)^-4

kadin
kadin asked
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Last Modified: 2012-05-11
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
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Top Expert 2009

Commented:
>> 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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Commented:
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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Commented:
256 as a power of 2 = 65536.
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Top Expert 2009

Commented:
>> 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 ?
ozo
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Sean StuberDatabase Developer & Administrator
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Commented:
"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?

Raheman M. AbdulMessaging and Directory Services
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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
Sean StuberDatabase Developer & Administrator
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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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