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Simplify: (-4p^(3))^(3)

Simplify:\newline(−4p3)3(-4p^{3})^{3}

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Full solution

Q. Simplify:\newline(−4p3)3(-4p^{3})^{3}
  1. Recognize and Apply Power Rule: Step 11: Recognize the expression and apply the power rule for exponents. (−4p3)3=(−4)3×(p3)3(-4p^{3})^{3} = (-4)^{3} \times (p^{3})^{3}
  2. Calculate Cube of −4-4: Step 22: Calculate the cube of −4-4.(−4)3=−64(-4)^3 = -64
  3. Apply Power Rule to (p3)3(p^3)^3: Step 33: Apply the power rule to (p3)3(p^3)^3.(p3)3=p(3∗3)=p9(p^3)^3 = p^{(3*3)} = p^9
  4. Combine Results: Step 44: Combine the results from Step 22 and Step 33.\newline−64×p9=−64p9-64 \times p^9 = -64p^9

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