single powers of 4

Printable View

January 30th 2010, 11:08 AM
andyboy179

single powers of 4

hi this is my question:
write in single power of 4
(4^2)^3

how would i do this?
January 30th 2010, 11:13 AM
VonNemo19

Quote:

Originally Posted by andyboy179

hi this is my question:
write in single power of 4
(4^2)^3

how would i do this?

Note that $(4^2)^3=(4\cdot4)^3=(4\cdot4)(4\cdot4)(4\cdot4)=4\ cdot4\cdot4\cdot4\cdot4\cdot4=?$
January 30th 2010, 11:22 AM
andyboy179

=4096?
January 30th 2010, 11:26 AM
VonNemo19

Quote:

Originally Posted by andyboy179

=4096?

Well, yeah....but the problem asked for $(4^2)^3=4^{x}$ . So, from looking at my above post, what number should replace the $x$ here?
January 30th 2010, 11:29 AM
andyboy179

3?
January 30th 2010, 11:34 AM
VonNemo19

Quote:

Originally Posted by andyboy179

3?

Not quite. My first post says that $(4^2)^3$ is the same thing as $4\cdot4\cdot4\cdot4\cdot4\cdot4$ which is the same thing as $4^{\color{red}6}$ .

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

And moreover, in general, $(a^m)^n=a^{m\cdot{n}}$
January 30th 2010, 11:39 AM
andyboy179

Quote:

Originally Posted by VonNemo19

Not quite. My first post says that $(4^2)^3$ is the same thing as $4\cdot4\cdot4\cdot4\cdot4\cdot4$ which is the same thing as $4^{\color{red}6}$ .

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

And moreover, in general, $(a^m)^n=a^{m\cdot{n}}$

oh so i times to 2 top numbers? so is the question was (4^3)^5 it would = 4^15?
January 30th 2010, 11:44 AM
VonNemo19

Quote:

Originally Posted by andyboy179

oh so i times to 2 top numbers? so is the question was (4^3)^5 it would = 4^15?

(Yes) Ideed. (Wink)
January 30th 2010, 11:46 AM
andyboy179

cheers mate! if it was (4^3)^-2 i would do the same so it would be 4^-6
January 30th 2010, 11:55 AM
VonNemo19

Quote:

Originally Posted by andyboy179

cheers mate! if it was (4^3)^-2 i would do the same so it would be 4^-6

Correct.

All times are GMT -8. The time now is 05:12 PM.