SOLUTION: What is the answer to m to the second power over m to the ninth power and how did you come up with the answer

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Question 672880: What is the answer to m to the second power over m to the ninth power and how did you come up with the answer
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Rules of Exponents:
1.
a%5Em%2Aa%5En=a%5E%28m%2Bn%29....If the bases of the exponential expressions that are multiplied are the same, then you can combine them into one expression by adding the exponents.
2.
a%5Em%2Fa%5En=a%5E%28m-n%29.....If the bases of the exponential expressions that are divided are the same, then you can combine them into one expression by subtracting the exponents.
3.
%28a%5Em%29%5En=a%5E%28m%2An%29.......When you have an exponential expression raised to a power, you have to multiply the two exponents.
4.
a%5E0=1......Any number or variable raised to the zero power is always equal to 1.
5.
a%5E%28-m%29=1%2Fa%5Em......a negative exponent changes the location (numerator or denominator)

so, in your case we have:
m to the second power is m%5E2
m to the ninth power m%5E9
and m%5E2 over m%5E9 is
m%5E2%2Fm%5E9.....now you can simplify, use rule 2
m%5E%282-9%29
m%5E%28-7%29...now use rule 5
1%2Fm%5E%287%29