Could you simplify that further ? Can you write 256 as a power of 2 ?

Solved

Posted on 2011-04-26

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

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

12 Comments

(3^2)^2 = (3 * 3)^2 = (3 * 3) * (3 * 3) = (3 * 3 * 3 * 3) = 3^4 = 3^(2 * 2)

I didn't mean 256^2

I meant, can you write 256 AS a power of 2. ie. :

256 = 2^x

What's x ?

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?

= [2]

this is definitely not equal to -4 since the above equals to 0.000000000232830643653869

which is not equal to -4

((-4)^4)^-4

(-4) is not a number raised to a power

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