9514 1404 393
Answer:
multiply their coefficients, use the base with the sum of exponents
Step-by-step explanation:
The coefficients multiply. The base gets an exponent that is the sum of the exponents of the factors.
(a·x^b)(c·x^d) = ac·x^(b+d)
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If you remember that an exponent is simply an indicator of the number of times the base is a factor, this should be fairly clear. The usual associative and commutative properties of multiplication apply.
Example
5x^2 · 7x^3= 5·x·x·7·x·x·x
= 5·7·x·x·x·x·x
= (5·7)(x^(2+3))
= 35x^5
