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Simplify. Express your answer using a single exponent. \newline(11t7)2(11t^7)^2

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Full solution

Q. Simplify. Express your answer using a single exponent. \newline(11t7)2(11t^7)^2
  1. Apply Power Separately: Apply the power to both the base number and the variable separately.\newlineWhen raising a power to a power, we multiply the exponents for the variable. For the base number, we simply square it.\newline(11t7)2=112×(t7)2(11t^7)^2 = 11^2 \times (t^7)^2
  2. Calculate Base Number Square: Calculate the square of the base number 1111. \newline112=11×11=12111^2 = 11 \times 11 = 121
  3. Multiply Variable Exponents: Multiply the exponents for the variable tt.(t7)2=t(7×2)=t14 (t^7)^2 = t^{(7 \times 2)} = t^{14}
  4. Combine Results: Combine the results from Step 22 and Step 33 to write the final simplified expression.\newline(11t7)2=121×t14=121t14(11t^7)^2 = 121 \times t^{14} = 121t^{14}

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