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Simplify. Express your answer using a single exponent.\newline(6b4)3(6b^4)^3

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Q. Simplify. Express your answer using a single exponent.\newline(6b4)3(6b^4)^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(6b4)3=63×(b4)3(6b^4)^3 = 6^3 \times (b^4)^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 b^\(4)^33\. When raising a power to another power, we multiply the exponents. b^\(4)^33 = b^{(44 \times 33)} = b^{1212}\
  4. Combine Results: Combine the results from Step 22 and Step 33 to write the expression in simplest form.\newline(6b4)3=63×(b4)3=216×b12=216b12(6b^4)^3 = 6^3 \times (b^4)^3 = 216 \times b^{12} = 216b^{12}