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\(7.44\times1010^88) \times (22.4545 \times1010 ^99)\

Full solution

Q. \(7.44\times1010^88) \times (22.4545 \times1010 ^99)\
  1. Multiply decimals: question_prompt: How much is (7.4×108)(7.4\times10^8) multiplied by (2.45×109)(2.45 \times10^9)?
  2. Calculate product: Multiply the decimal parts: 7.4×2.457.4 \times 2.45.
  3. Add exponents: 7.4×2.45=18.137.4 \times 2.45 = 18.13.
  4. Combine results: Add the exponents from 10810^8 and 10910^9: 8+98 + 9.
  5. Combine results: Add the exponents from 10810^8 and 10910^9: 8+98 + 9. 8+9=178 + 9 = 17.
  6. Combine results: Add the exponents from 10810^8 and 10910^9: 8+98 + 9. 8+9=178 + 9 = 17. Combine the results: 18.13×101718.13 \times 10^{17}.