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Simplify. Express your answer using a single exponent.\newline(p3)−7(p^3)^{-7}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(p3)−7(p^3)^{-7}
  1. Identify Rule: Identify the rule for exponents when raising a power to a power.\newlineWhen we raise a power to a power, we multiply the exponents. The expression (p3)−7(p^{3})^{-7} means that we have p3p^{3} raised to the −7-7 power.
  2. Apply Rule: Apply the exponent rule to simplify the expression.\newlineUsing the rule from Step 11, we multiply the exponents 33 and −7-7.\newline(p3)−7=p3×−7(p^3)^{-7} = p^{3 \times -7}
  3. Perform Multiplication: Perform the multiplication of the exponents.\newlineNow we multiply 33 by −7-7 to get the single exponent.\newlinep(3×−7)=p−21p^{(3 \times -7)} = p^{-21}

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