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Simplify. Express your answer using a single exponent.\newline(11b3)2(11b^3)^2

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(11b3)2(11b^3)^2
  1. Apply Power Rule: Apply the power of a power rule to the expression (11b3)2(11b^3)^2. When raising a power to another power, we multiply the exponents. The coefficient 1111 is also raised to the power of 22. (11b3)2=112×(b3)2(11b^3)^2 = 11^2 \times (b^3)^2
  2. Calculate 11211^2: Calculate 11211^2.\newline112=11×11=12111^2 = 11 \times 11 = 121
  3. Calculate (b3)2(b^3)^2: Calculate (b3)2(b^3)^2.(b3)2=b(3×2)=b6(b^3)^2 = b^{(3 \times 2)} = b^6
  4. Combine Results: Combine the results from Step 22 and Step 33. 121×b6=121b6121 \times b^6 = 121b^6

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