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Simplify. Express your answer using a single exponent.\newline(9m9)2(9m^9)^2

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(9m9)2(9m^9)^2
  1. Apply power rule: Apply the power of a power rule to 9m99m^9^22. The power of a power rule states that aba^b^c = a^{b*c}. We will apply this rule to both the numerical part and the variable part of the expression. 9m99m^9^22 = 99^22 * m9m^9^22
  2. Calculate 929^2: Calculate 929^2. \newline92=9×9=819^2 = 9 \times 9 = 81
  3. Calculate (m9)2(m^9)^2: Calculate (m9)2(m^9)^2 using the power of a power rule.\newline(m9)2=m(9∗2)=m18(m^9)^2 = m^{(9*2)} = m^{18}
  4. Combine results: Combine the results from Step 22 and Step 33.\newlineThe simplified expression is 81×m18.81 \times m^{18}.

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