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There are parts A and B.a) Find two numbers m and n that satisfy the equationb) Describe the number of solutions that satisfy the equation. Explain your reasoning.

There are parts A and B.a) Find two numbers m and n that satisfy the equationb) Describe-example-1
User Epcylon
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When we have a quotient of powers in the form


(a^m)/(a^n)

since both of them have the same base, this means that we can rewrite as a single power in the form


a^(m-n)

for that reason:

Part A:

Any numbers that have a difference of 2 can be possible numbers for m and n,

then m=5 and n=3 are two possible numbers that satisfy the equation

Part B:

There are many pairs of numbers that have a difference of two, like 10 and 8, 19 and 17, 7 and 5, and so on... this means that there are infinitely many solutions that satisfy an equation from the difference in the exponents.


m-n=2

User Hicham
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