Question

Help? Will give medal and fan!

Answer 1

Are you aware of the index laws?

Answer 2

No?

Answer 3

read this article, it is very important you know this to solve this equation: http://www.staff.vu.edu.au/mcaonline/units/indices/indexlaws.html

Answer 4

Ok, is the answer by any chance 35?

Answer 5

actually, sorry yes the answer is 35.

Answer 6

Okay thanks.!

Answer 7

105 = 3m hence m = 35.

Answer 8

\[\huge x^{3m} = x^{65} \times x^{40} \implies x^{3m} = x^{105} \implies 3m = 105 \]

Answer 9

\[3m = 105 \implies m = 35\]

Answer 10

Thanks!

Answer 11

Notice when you multiply the x's you add the exponent, so the rule is \[\huge x^m \times x^n \implies x^{mn}\] and \[\huge (x^n)^m \implies x^{nm}\]