Simplify 2 to the 5th over 3 squared all raised to the 4th power. 2 to the 20th over 3 to the 8th 2 to the 9th over 3 to the 8th 8 to the 5th over 12 to the 2nd 2 over 3 to the 2nd

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Simplify 2 to the 5th over 3 squared all raised to the 4th power. 2 to the 20th over 3 to the 8th 2 to the 9th over 3 to the 8th 8 to the 5th over 12 to the 2nd 2 over 3 to the 2nd

Mathematics
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  • phi
\[ \left(\frac{2^5}{3^2} \right)^4\]
thatscorrect

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Other answers:

  • phi
so you have "something" multiplied by itself 4 times
ok
  • phi
what is multiplied by itself 4 times?
the 5?
or 2
  • phi
everything in the parens is treated as one thing, that is multiplied by itself 4 times.
so the 2 5 3 and 2 are multiplied by 4?
  • phi
you make a 4 copies of \(\left(\frac{2^5}{3^2} \right) \) and multiply them together.
woah
thats alot
  • phi
do you know how to multiply fractions? top times top and bottom times bottom
a little bit im pretty bad when it comes to fractions
  • phi
care to figure out the top ? (it's 2^5 times itself 4 times)
mmmmh
idk
  • phi
do you know what 2^5 means ? 2*2*2*2*2 right ?
ohh woops
ya so we do that
4 times?
  • phi
yes
ok 1 sec
  • phi
just "glue them together" and count the 2's
2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2 20? xD
  • phi
yes 2^20 now the bottom
ok
3x3x3x3
right?
  • phi
the bottom is 3^2 times itself 4 times
oh i need 2 more sorry
wait
isnt that correct or would it be 3x2x3x2x3x2x3x2
  • phi
just 3 times itself
3x3x3x3x3x3
  • phi
3^2 is 3*3 we multiply 3*3 by itself 4 times yes 3^8
  • phi
so the answer is 2^20/ 3^8
ohh
thats wasnt that bad
  • phi
practice helps
yup ty very much
ok 1 more and we will be done :DD
  • phi
ok, I'll get there. but try to do some of the work.

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