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Simplify. Express your answer using positive exponents.\newline4p94p⋅p\frac{4p^9}{4p \cdot p}

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline4p94p⋅p\frac{4p^9}{4p \cdot p}
  1. Simplify Expression: Simplify the expression by canceling out common factors and combining the exponents.\newlineThe expression 4p94p⋅p\frac{4p^9}{4p \cdot p} can be simplified by first canceling the common factor of 4p4p in the numerator and denominator.\newline4p94p⋅p=p9−2\frac{4p^9}{4p \cdot p} = p^{9-2}
  2. Apply Quotient Rule: Apply the quotient rule for exponents.\newlineThe quotient rule states that when dividing powers with the same base, you subtract the exponents.\newlinep9/p2=p(9−2)=p7p^9/p^2 = p^{(9-2)} = p^7
  3. Ensure Positive Exponents: Ensure that the final answer has positive exponents.\newlineThe final answer p7p^7 already has a positive exponent, so no further simplification is needed.

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