hi,
i need to simplify this:
m^3 X m^5=?
for some reason i just can't think what to do!
would it = (m)^8??
For these simple observe that $\displaystyle m^3\times m^5= (m*m*m)(m*m*m*m*m)= m*m*m*m*m*m*m*m= m^8$ because there are a total of 3+ 5= 8 m's multiplied together.
Similarly, $\displaystyle \frac{m^3}{m^5}= \frac{m*m*m}{m*m*m*m*m}= \frac{1}{m*m}= \frac{1}{m^2}$ because the three m's in the numerator cancel three of the m's in the denominator leaving 5- 3= 2 m's.