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Simplify. Express your answer using a single exponent.\newline(11c3)2(11c^3)^2

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Q. Simplify. Express your answer using a single exponent.\newline(11c3)2(11c^3)^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 number to a power, we simply calculate the number to that power.\newline(11c3)2=112×(c3)2(11c^3)^2 = 11^2 \times (c^3)^2
  2. Calculate 11211^2: Calculate 11211^2.\newline112=11×11=12111^2 = 11 \times 11 = 121
  3. Calculate (c3)2(c^3)^2: Calculate (c3)2(c^3)^2. When raising a power to another power, we multiply the exponents. (c3)2=c(3×2)=c6(c^3)^2 = c^{(3 \times 2)} = c^6
  4. Combine Results: Combine the results from Step 22 and Step 33.\newline121×c6=121c6121 \times c^6 = 121c^6\newlineThis is the simplified expression using a single exponent.