9^3k * 27^3k-1 * 3^k all divided by 81^4k like a fraction
Solve the variable
SHOW ALL WORK
(Doin gr8 Cphill)
9^3k * 27^3k-1 * 3^k all divided by 81^4k like a fraction
93k∗273k−1∗3k814k=32∗3k∗33(3k−1)∗3k34∗4k=36k∗39k−3∗3k316k=36k+9k−3+k−16k=3−3=133=127
[9^(3k) * 27^(3k-1) * 3^k] / 81^(4k)
[ (3^2)^(3k) * (3^3)^(3k - 1) * 3^k] / [3^4]^{4k)
[ 3^(6k) * (3)^(9k - 3) * 3^k ] / [3^16]^k
[ 3^ ( 6k + 9k - 3 + k ) ] / [3^(16k)]
[ 3^(16k - 3) ] / [3^ (16k)]
3^(16k - 3 - 16k) =
3^( -3 )
1 / 27
Now Chris,
You would have seen me working on it before you even started your answer :/