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Simplify. Express your answer using a single exponent.\newline(11t5)2(11t^{5})^{2}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(11t5)2(11t^{5})^{2}
  1. Apply power rule: Apply the power of a power rule, which states that (am)n=am∗n(a^m)^n = a^{m*n} for any real number aa and integers mm and nn.(11t5)2=112⋅(t5)2(11t^{5})^{2} = 11^{2} \cdot (t^{5})^{2}
  2. Calculate power of 1111: Calculate the power of 1111.112=12111^{2} = 121
  3. Calculate power of t: Calculate the power of t5t^{5}. (t5)2=t5∗2=t10(t^{5})^{2} = t^{5*2} = t^{10}
  4. Combine results: Combine the results from the previous steps to get the final answer.\newline(11t5)2=121×t10(11t^{5})^{2} = 121 \times t^{10}

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