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Simplify. Express your answer using a single exponent.\newline(11p9)2(11p^9)^2

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(11p9)2(11p^9)^2
  1. Apply Power to Base and Variable: Apply the power to both the base number and the variable.\newlineWhen raising a power to a power, we multiply the exponents. For the base number, we simply square it.\newline(11p9)2=112×(p9)2(11p^9)^2 = 11^2 \times (p^9)^2
  2. Calculate 11211^2: Calculate 11211^2.\newline112=11×11=12111^2 = 11 \times 11 = 121
  3. Calculate (p9)2(p^9)^2: Calculate (p9)2(p^9)^2.\newlineWhen raising a power to another power, we multiply the exponents.\newline(p9)2=p(9×2)=p18(p^9)^2 = p^{(9 \times 2)} = p^{18}
  4. Combine Results: Combine the results from Step 22 and Step 33.\newline(11p9)2=121×p18(11p^9)^2 = 121 \times p^{18}
  5. Write Final Expression: Write the final simplified expression.\newlineThe expression (11p9)2(11p^9)^2 simplifies to 121p18121p^{18}.

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