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Simplify. Express your answer using a single exponent.\newline(11p4)2(11p^4)^2

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(11p4)2(11p^4)^2
  1. Apply Power Rule: Apply the power to a power rule.\newlineWhen raising a power to another power, we multiply the exponents. We also raise the numerical coefficient to the power of 22.\newline(11p4)2=112×(p4)2(11p^4)^2 = 11^2 \times (p^4)^2
  2. Calculate 11211^2: Calculate 11211^2.\newline112=11×11=12111^2 = 11 \times 11 = 121
  3. Calculate (p4)2(p^4)^2: Calculate (p4)2(p^4)^2.(p4)2=p(4×2)=p8(p^4)^2 = p^{(4 \times 2)} = p^8
  4. Combine Results: Combine the results from Step 22 and Step 33.\newline(11p4)2=121×p8(11p^4)^2 = 121 \times p^8

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