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Simplify. Express your answer using a single exponent.\newline(11j6)2(11j^6)^2

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(11j6)2(11j^6)^2
  1. Apply power to factors: Step 11: Apply the power to each factor in the expression.\newline(11j6)2=112×(j6)2(11j^6)^2 = 11^2 \times (j^6)^2
  2. Calculate 11211^2: Step 22: Calculate 11211^2.\newline112=12111^2 = 121
  3. Apply power rule for exponents: Step 33: Apply the power rule for exponents (am)n=am∗n(a^m)^n = a^{m*n}.\newline(j6)2=j6∗2=j12(j^6)^2 = j^{6*2} = j^{12}
  4. Combine results: Step 44: Combine the results from Step 22 and Step 33.\newline121⋅j12=121j12121 \cdot j^{12} = 121j^{12}

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