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Simplify. Express your answer using a single exponent.\newline(11v6)2(11v^6)^2

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(11v6)2(11v^6)^2
  1. Apply Power Rule: Apply the power of a power rule to (11v6)2(11v^6)^2. When raising a power to another power, we multiply the exponents. We also raise the numerical coefficient to the power of 22. (11v6)2=112×(v6)2(11v^6)^2 = 11^2 \times (v^6)^2
  2. Calculate 11211^2: Calculate 11211^2.\newline112=11×11=12111^2 = 11 \times 11 = 121
  3. Calculate (v6)2(v^6)^2: Calculate (v6)2(v^6)^2.(v6)2=v(6×2)=v12(v^6)^2 = v^{(6 \times 2)} = v^{12}
  4. Combine Results: Combine the results from Step 22 and Step 33.\newline(11v6)2=121×v12(11v^6)^2 = 121 \times v^{12}
  5. Write Final Expression: Write the final simplified expression.\newlineThe expression (11v6)2(11v^6)^2 simplifies to 121v12121v^{12}.

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