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Simplify. Express your answer using positive exponents.\newline(5n9)(5n3)(5n^9)(5n^3)

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline(5n9)(5n3)(5n^9)(5n^3)
  1. Combine coefficients and powers: Step 11: Combine the coefficients and the powers with the same base.\newline(5n9)(5n3)=(5×5)×(n9×n3)(5n^9)(5n^3) = (5 \times 5) \times (n^9 \times n^3)
  2. Calculate product of coefficients: Step 22: Calculate the product of the coefficients.\newline5×5=255 \times 5 = 25
  3. Combine exponents using properties: Step 33: Use the properties of exponents to combine n9n^9 and n3n^3. \newlinen9×n3=n(9+3)=n12n^9 \times n^3 = n^{(9+3)} = n^{12}
  4. Write simplified expression: Step 44: Write the simplified expression.\newline(5n9)(5n3)=25n12(5n^9)(5n^3) = 25n^{12}

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