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Math Help - simplify

  1. #1
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    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??
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  2. #2
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    Yes, that's correct.

    m^a \times m^b = m^{a+b}
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  3. #3
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    thanks for answering, however how would i show this if it was m^3/m^5?? would it be (m^3/m^5)??
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  4. #4
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    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}
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  5. #5
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    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.
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