Use the quotient rule to simplify a^7 b^9/a^6 b
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To simplify the expression:
a^7 b^9 / a^6 b
We can use the quotient rule of exponents which states that when dividing terms with the same base, we subtract the exponents:
a^7 / a^6 = a^(7-6) = a^1 = a
b^9 / b = b^(9-1) = b^8
Therefore, the simplified expression is:
a b^8