1. ## simplify

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??

2. Yes, that's correct.

$m^a \times m^b = m^{a+b}$

3. thanks for answering, however how would i show this if it was m^3/m^5?? would it be (m^3/m^5)??

4. It would but that doesn't really help. In that case use the law of exponents that says $\dfrac{m^a}{m^b} = m^{a-b}$

5. For these simple observe that $m^3\times m^5= (m*m*m)(m*m*m*m*m)= m*m*m*m*m*m*m*m= m^8$ because there are a total of 3+ 5= 8 m's multiplied together.

Similarly, $\frac{m^3}{m^5}= \frac{m*m*m}{m*m*m*m*m}= \frac{1}{m*m}= \frac{1}{m^2}$ because the three m's in the numerator cancel three of the m's in the denominator leaving 5- 3= 2 m's.