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Simplify. Express your answer using a single exponent.\newline(11h5)2(11h^5)^2

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(11h5)2(11h^5)^2
  1. Apply Power to Base and Variable: Apply the power to both the base number and the variable with its exponent. When raising a power to a power, we multiply the exponents, and when raising a number to a power, we simply calculate the number to that power. (11h5)2=112×(h5)2(11h^5)^2 = 11^2 \times (h^5)^2
  2. Calculate 11211^2: Calculate 11211^2.\newline112=11×11=12111^2 = 11 \times 11 = 121
  3. Calculate (h5)2(h^5)^2: Calculate (h5)2(h^5)^2. When raising a power to another power, we multiply the exponents. (h5)2=h(5×2)=h10(h^5)^2 = h^{(5 \times 2)} = h^{10}
  4. Combine Results: Combine the results from Step 22 and Step 33. 121×h10121 \times h^{10}

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