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Simplify. Your answer should be in proper scientific notation: (7.2 ×10^(5))(9×10^(7))

Simplify. Your answer should be in proper scientific notation:\newline(7.2×105)(9×107) \left(7.2 \times 10^{5}\right)\left(9 \times 10^{7}\right)

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Full solution

Q. Simplify. Your answer should be in proper scientific notation:\newline(7.2×105)(9×107) \left(7.2 \times 10^{5}\right)\left(9 \times 10^{7}\right)
  1. Multiply Coefficients: Multiply the coefficients (7.27.2 and 99) together.\newlineCalculation: 7.2×9=64.87.2 \times 9 = 64.8
  2. Add Exponents: Add the exponents (55 and 77) from the powers of 1010.\newlineCalculation: 5+7=125 + 7 = 12
  3. Combine Results: Combine the results from Step 11 and Step 22 to form the new scientific notation.\newlineCalculation: 64.8×101264.8 \times 10^{12}
  4. Adjust Coefficient: Adjust the coefficient to be between 11 and 1010 for proper scientific notation. Since 64.864.8 is greater than 1010, we need to move the decimal point one place to the left.\newlineCalculation: 64.864.8 becomes 6.486.48\newlineTo compensate for the decimal shift, we need to increase the exponent by 11.\newlineNew exponent: 12+1=1312 + 1 = 13
  5. Write Final Answer: Write the final answer in proper scientific notation.\newlineCalculation: 6.48×10136.48 \times 10^{13}

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