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Simplify. Express your answer using a single exponent.\newline(6j7)3(6j^7)^3

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Q. Simplify. Express your answer using a single exponent.\newline(6j7)3(6j^7)^3
  1. Apply Power Separately: Apply the power to both the coefficient and the variable separately.\newlineWhen raising a power to a power, we multiply the exponents, and when raising a coefficient to a power, we simply calculate the power of the number.\newline(6j7)3=63×(j7)3(6j^7)^3 = 6^3 \times (j^7)^3
  2. Calculate Coefficient Power: Calculate the power of the coefficient 636^3. \newline63=6×6×6=2166^3 = 6 \times 6 \times 6 = 216
  3. Calculate Variable Power: Calculate the power of the variable j^\(7)^33\. When raising a power to another power, we multiply the exponents. j^\(7)^33 = j^{77 \times 33} = j^{2121}\
  4. Combine Results: Combine the results from Step 22 and Step 33 to write the final simplified expression.\newline(6j7)3=63×(j7)3=216×j21=216j21(6j^7)^3 = 6^3 \times (j^7)^3 = 216 \times j^{21} = 216j^{21}

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