Question

Solve for x
x^9=12^2x12^7

Answer 1

12

Explanation:

Hi!

Here is your answer,

I will explain in step by step,

`{x}^(9) = {12}^(2) * {12}^(7)`

Here we can simplify this further using this law,

`{a}^(m) * {a}^(n) = {a}^(m + n)`

So we will get,

`{x}^(9) = {12}^(7 + 2) \\ {x}^(9) = {12}^(9)`

Since the powers are same we can cancel it out and we will get,

`x = 12`

(Hope this answer helped :))