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Evaluate 9150300\frac{9^{150}}{300} \newlineA) 1818 \newlineB) 99 \newlineC) 33 \newlineD) 8181

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Full solution

Q. Evaluate 9150300\frac{9^{150}}{300} \newlineA) 1818 \newlineB) 99 \newlineC) 33 \newlineD) 8181
  1. Simplify Exponent: First, simplify the exponent by dividing 150150 by 300300.\newline9150/300=91/29^{150/300} = 9^{1/2}
  2. Recognize Square Root: Next, recognize that 91/29^{1/2} is the square root of 99.\newline9=3\sqrt{9} = 3
  3. Match with Options: Finally, match the result with the given options.\newlineThe correct answer is C) 33.

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