Question

If 36^m ×(216)^–2 =6,then the value of m is

Answer 1

Hello!

36^m x 216^-2 = 6

36 can be written as 6^2 and 216 as 6^3

Now 6^2m x 6^-6 = 6^1

6^ 2m-6. = 6^1

2m-6 =1

2m = 7

m = 7/2

Thank You!

I hope you understood :)

Answer 2

Answer:

$= > {36}^{m} \times {216}^{ - 2} = 6 \\ \\ = > {6}^{2m} \times {6}^{3 \times - 2} = 6 \\ \\ = > {6}^{2m} \times {6}^{ - 6} = 6 \\ \\ = > {6}^{2m - 6} ={6}^{1} \\ \\ = > 2m - 6 =1 \\ \\ = > 2m = 7 \\ \\ = > m = \frac{7}{2}$

Here's The Answer My Friend....