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Simplify. Express your answer using a single exponent. \newline(11v5)2(11v^5)^2

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Full solution

Q. Simplify. Express your answer using a single exponent. \newline(11v5)2(11v^5)^2
  1. Apply Power: Simplify the expression (11v5)2(11v^5)^2. First, apply the power to each factor inside the parentheses. (11v5)2=112×(v5)2(11v^5)^2 = 11^2 \times (v^5)^2
  2. Calculate 11211^2: Calculate 11211^2.\newline112=12111^2 = 121.
  3. Calculate (v5)2(v^5)^2: Calculate (v5)2(v^5)^2. Use the rule of exponents (am)n=am∗n(a^m)^n = a^{m*n}. (v5)2=v5∗2=v10(v^5)^2 = v^{5*2} = v^{10}.
  4. Combine Results: Combine the results. 121×v10=121v10.121 \times v^{10} = 121v^{10}.

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