When like terms with exponents are multiplied, the number of times the term is multiplied by itself is increased by the additional number of times indicated by the second exponent. Therefore, the product is found by adding the exponents together.
Continue ReadingFor example, m^{3} x m^{4} = m^{7}, because m^{3} is equivalent to (m x m x m), and m^{4} is equivalent to (m x m x m x m). The product of these terms is m^{7}, because m is multiplied by m a total of seven times. On the other hand, if m^{3} is raised to the fourth power, the answer is found by multiplying the exponents, so (m^{3})^{4} = m^{12}.
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