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Simplify. Express your answer using a single exponent.\newline(12d8)2(12d^{8})^{2}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(12d8)2(12d^{8})^{2}
  1. Apply Power Rule: Apply the power of a power rule, which states that am)n=am∗n foranyrealnumber$aa^m)^n = a^{m*n}\ for any real number \$a and integers mm and nn. \(12d^{88})^{22} = 1212^{22} * (d^{88})^{22}\
  2. Calculate Base Power: Calculate the power of the base number 1212. \newline122=12×12=14412^{2} = 12 \times 12 = 144
  3. Apply Variable Power Rule: Apply the power of a power rule to the variable with exponents.\newline(d8)2=d8×2=d16(d^{8})^{2} = d^{8\times2} = d^{16}
  4. Combine Results: Combine the results from the previous steps to get the final simplified expression.\newline(12d8)2=144×d16(12d^{8})^{2} = 144 \times d^{16}

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