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Simplify. Express your answer using a single exponent.\newline(11t8)2(11t^{8})^{2}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(11t8)2(11t^{8})^{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.(11t8)2=112∗(t8)2(11t^{8})^{2} = 11^{2} * (t^{8})^{2}
  2. Calculate power of 1111: Calculate the power of 1111.112=12111^{2} = 121
  3. Calculate power of t: Calculate the power of t8t^{8}. (t8)2=t8∗2=t16(t^{8})^{2} = t^{8*2} = t^{16}
  4. Combine results: Combine the results from the previous steps. 121×t16121 \times t^{16}

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