Question

Find the value of m and n:
4^2m = 16^-6/3n = 8

Answer 1

Answer:

4^2m =8

This can be written as,

2^2(2m)=2^3

2^4m=2^3

As the base are equal,we equate the powers

4m=3

m=3/4

Now,

16^-6/3n=8

This can be written as

2^4(-6/3n)=2^3

Equating the powers,

4(-6/3n)=3

4(-2/n)=3

-8/n=3

n=-8/3

I hope this helps