Use the quotient rule to simplify the expression. Assume that all bases are not equal to 0.
StartFraction p Superscript 5 Baseline q cubed Over p Superscript 4 Baseline q EndFraction
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Part 1
StartFraction p Superscript 5 Baseline q cubed Over p Superscript 4 Baseline q EndFraction
equals
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To simplify the expression using the quotient rule, we divide the numerator by the denominator.
Using the quotient rule, we have:
(p^5 * q^3) / (p^4 * q)
We can simplify this expression by subtracting the exponents of the common base, p, and the exponents of the common base, q.
(p^5 * q^3) / (p^4 * q) = p^(5-4) * q^(3-1)
Simplifying further, we have:
p^1 * q^2
Therefore, the simplified expression is p * q^2.