Q. Simplify. Express your answer using a single exponent.(11b9)2
Apply Power Rule: Apply the power of a power rule.The power of a power rule states that when you raise a power to another power, you multiply the exponents. In this case, we have (11b9)2, so we will apply the rule to both the base 11 and the exponent of b.(11b9)2=112×(b9)2
Calculate 112: Calculate 112.112 is 11 multiplied by itself.112=11×11=121
Calculate (b9)2: Calculate (b9)2. Using the power of a power rule, we multiply the exponents 9 and 2. (b9)2=b(9×2)=b18
Combine Results: Combine the results from Step 2 and Step 3.We have 121 from Step 2 and b18 from Step 3. We multiply these together to get the final simplified expression.121×b18=121b18
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