Question

[(5^6n x 9^4n x 15^2n) / 3^2n] = k^8n

Find the value of k where k is a positive integer.
Show me the steps thanks, no straight answers

Answer 1

yeah

Answer 2

err is 5^6n not 56^6n

Answer 3

\[\frac{5^{6n}∗9^{4n}∗15^{2n}}{3^{2n}}=k^{8n}\]

Answer 4

See, 9 = 3*3 = 3^2

15 = 5*3

\[\frac{5^{6n}*3^{8n}*3^{2n}*5^{2n}}{3^{2n}} = 5^{6n +2n}*3^{8n} = 5^{8n}*3^{8n}\]

\[(5*3)^{8n} = k^{8n}\]

So, can you find k from it or not???

Answer 5

ok thanks alot <3

Answer 6

Welcome dear...