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e) (9*10^(6))*(3*10^(6))

e) (9⋅106)⋅(3⋅106) \left(9 \cdot 10^{6}\right) \cdot\left(3 \cdot 10^{6}\right)

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Full solution

Q. e) (9⋅106)⋅(3⋅106) \left(9 \cdot 10^{6}\right) \cdot\left(3 \cdot 10^{6}\right)
  1. Group Coefficients and Power Terms: Group the coefficients first, then group the power terms.\newlineCoefficients: 99 and 33\newlinePower terms: 10610^6 and 10610^6\newline(9×106)×(3×106)=(9×3)×(106×106)(9\times10^6)\times(3\times10^6) = (9\times3) \times (10^6\times10^6)
  2. Multiply Coefficients: Multiply the coefficients.\newline9×3=279 \times 3 = 27
  3. Apply Exponent Rule: Apply the rule of exponents for multiplication. 106×106=106+6=101210^6 \times 10^6 = 10^{6+6} = 10^{12}
  4. Combine Results: Combine the results from Step 22 and Step 33. 27×101227 \times 10^{12}
  5. Select Correct Option: Selection of the correct option\newlineThe expression (9×106)×(3×106)(9\times10^6)\times(3\times10^6) is equivalent to 27×101227 \times 10^{12}.

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