How to solve a nice Exponential Expression

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How to solve a nice Exponential Expression

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6^12/12^6
=(6^2)^6/12^6
=(36)^6/12^6
=(36/12)^6
=3^6
= 729 (Ans:-) According to me, this was easier process 🙂‍↕️🙂‍↔️😌

debopriyapalit-me
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I simply started at (6^2/12)^6, pulling the common power out. 6^2=36, 36/12 = 3, that gives 3^6 . I'm not sure it's better, but yeah, that could be worked out in my head.

RNMSC
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(6^12)/(12^6)=729 It’s in my head 3^6=729

RyanLewis-Johnson-wqxs
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Excellent demonstration; thanks for sharing !

abeonthehill
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Si quieres aprender más de matemática, física, química y dibujo, sígueme .

orlandovaldes
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To evaluate this expression, we follow the order of operations (PEMDAS):

1. Calculate the powers:
6^12 = 2176782336
12^6 = 2985984

2. Divide the results:
2176782336 ÷ 2985984 = 729

So, 6^12 ÷ 12^6 = 729

నేనునేనే
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6¹² / 12⁶
= 6¹² / (2⁶ · 6⁶)
= 6⁶ / 2⁶
= 2⁶ · 3⁶ / 2⁶
= 3⁶
= 729.

Nikioko
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6¹²/12⁶=
6⁶×6⁶/2×6⁶=
6⁶/2=
2×3⁶/2=3⁶

NhaNguyen-cxri
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729
I didn't do it that way. I simply wrote what 6 to the 12th power means divided by 12 to the 6th power. I canceled and got 3 × 3 × 3 × 3 × 3×3 = 729. It took longer but was easy as 6 is a factor of 12. I will learn that process used.

hazelbradford
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¡Es una manera fácil de resolver al igual que otras 2 formas! 😊

Cayuyo
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If you have something in the form of [x^(2x)]/[(2x)^x], this simplifies as (x^x)/(2^x)

Therfeore, (6^12)/(12^6) = (6^6)/(2^6) = (6/2)^6 = 3^6

scmtuk
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(6^6).(6^6)/(6^6).(2^6) = (6^6)/(2^6)
(6^6)/(2^6) = (3^6)(2^6)/(2^6)/ = 3^6
3^6 = (3^3)^2
(3^3)^2 = (27)^2 = 729.

MrPoornakumar
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Who can calculate 3 raised to the 6th power in their head?

Jimfundercover
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6^12/12^6
=(3^12 * 2^12)/(3^6 * 2^12)
=3^6
=27 * 27
=(30-3)^2
=900-180+9
=729

vinnytryclyst
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I did the same for 6, 2x3
2^12×3^12/2^6×3^6=3^6
but the final step 3^6=729, how did you do that?

bjorneriksson
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I love how she reads this like a student came to ask her a question one minute before she was about to leave for the day.
Thank you!! Runs out the

jamesdean
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I did it by prime factoring. In my head.

rbtmdl
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6^12/12^6 =
(6/12)^6 x 6°6 =
(1/2)^6 x 6^6 =
(6/2)°6 = 3^6
3^6 = 729
per questo tipo di operazioni basta di le proprietà delle potenze

DiegoSimonetti-zcyj
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or, just simplified 6^12 into 36^6/12^6 which is 3^6

ziyechhakim
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6^12/12^6
(2×3) ^12/ (3×2²) ^6=3^6

lakshmikutty