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Simplify. Express your answer using a single exponent.\newline(11h8)2(11h^8)^2

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(11h8)2(11h^8)^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(11h8)2=112×(h8)2(11h^8)^2 = 11^2 \times (h^8)^2
  2. Calculate 11211^2: Calculate 11211^2.\newline112=11×11=12111^2 = 11 \times 11 = 121
  3. Calculate (h8)2(h^8)^2: Calculate (h8)2(h^8)^2.(h8)2=h(8×2)=h16(h^8)^2 = h^{(8 \times 2)} = h^{16}
  4. Combine Results: Combine the results from Step 22 and Step 33.\newline(11h8)2=121∗h16(11h^8)^2 = 121 * h^{16}
  5. Write Final Expression: Write the final simplified expression.\newlineThe expression (11h8)2(11h^8)^2 simplifies to 121h16121h^{16}.

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