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Simplify. Express your answer using a single exponent. \newline(11k7)2(11k^7)^2

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Q. Simplify. Express your answer using a single exponent. \newline(11k7)2(11k^7)^2
  1. Apply Power to Coefficient and Variable: Apply the power to both the coefficient and the variable.\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(11k7)2=112×(k7)2(11k^7)^2 = 11^2 \times (k^7)^2
  2. Calculate Power of Coefficient: Calculate the power of the coefficient. 112=11×11=12111^2 = 11 \times 11 = 121
  3. Apply Power to Variable: Apply the power to the variable with the exponent.\newline(k7)2=k(7×2)=k14(k^7)^2 = k^{(7 \times 2)} = k^{14}
  4. Combine Results: Combine the results from Step 22 and Step 33. 121×k14121 \times k^{14}