In which expression should the exponents be multiplied? one fifth to the 2nd times one fifth to the 6th 9 to the 3rd over 9 to the 4th 73 ⋅ 78 (26)−5

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In which expression should the exponents be multiplied? one fifth to the 2nd times one fifth to the 6th 9 to the 3rd over 9 to the 4th 73 ⋅ 78 (26)−5

Mathematics
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after this there is 2 more
  • phi
you shout use ^ or the equation editor. I can't tell which numbers are exponents.

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Other answers:

oh let me fix it
  • phi
but we did this in your first question \[ \left(7^3\right)^2 = 7^6\] notice that 2*3= 6 (that is the short cut)
1/5^2 x 1/5^6 9^3/9^4 7^3 x 7^8 (2^6)^-5
do u want a screenshot ?
  • phi
no. it's clear. can you pick out the answer?
ok
let me see
(2^6)^-5??
  • phi
yes. the answer is 2^(-30) the way to get that the long way is "flip" and make -5 +5 \[ \left(2^6\right)^{-5}= \frac{1}{\left(2^6\right)^{5}}= \frac{1}{2^6\cdot 2^6 \cdot 2^6\cdot 2^6\cdot 2^6}\]
ok
  • phi
2^6 is 2*2*2*2*2*2 and there are 5 of those, which adds up to 2 times itself 30 times.
so when its multiplied up its 2^-(30) because 6x5 is 30
oh
ok ya
  • phi
if you learn to do it the "hard way" it should make sense. and the short cuts will be easier to understand.
lol ok
alrighty thanks for the awesome help again i got 2 left

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