hi this is my question:

write in single power of 4

(4^2)^3

how would i do this?

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- Jan 30th 2010, 11:08 AMandyboy179single powers of 4
hi this is my question:

write in single power of 4

(4^2)^3

how would i do this? - Jan 30th 2010, 11:13 AMVonNemo19
- Jan 30th 2010, 11:22 AMandyboy179
=4096?

- Jan 30th 2010, 11:26 AMVonNemo19
- Jan 30th 2010, 11:29 AMandyboy179
3?

- Jan 30th 2010, 11:34 AMVonNemo19
Not quite. My first post says that $\displaystyle (4^2)^3$ is the same thing as $\displaystyle 4\cdot4\cdot4\cdot4\cdot4\cdot4$ which is the same thing as $\displaystyle 4^{\color{red}6}$.

So, the answer is $\displaystyle (4^2)^3=4^6$.

And moreover, in general, $\displaystyle (a^m)^n=a^{m\cdot{n}}$ - Jan 30th 2010, 11:39 AMandyboy179
- Jan 30th 2010, 11:44 AMVonNemo19
- Jan 30th 2010, 11:46 AMandyboy179
cheers mate! if it was (4^3)^-2 i would do the same so it would be 4^-6

- Jan 30th 2010, 11:55 AMVonNemo19