Answer:The value of m for the given equation is, 35
Step-by-step explanation:
Given an equation: https://tex.z-dn.net/?f=x%5E%7B3m%7D%3D(x%5E%7B65%7D)*(x%5E%7B40%7D)
Use the above property on RHS in equation [1];
Since the base are same i.e, x ; we can add the exponents.
or
Using: , then a=b.
Therefore, 3m=105.
Divide 3 on both sides of an equation:
Simplify:
m=35
Therefore, the valur of m is, 35.