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\(4.55\times1010^77)(33.22\times1010^44)\

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Understanding negative exponentsright chevron icon

Full solution

Q. \(4.55\times1010^77)(33.22\times1010^44)\
  1. Multiply Decimals: Multiply the decimal parts of the numbers.\newlineCalculation: 4.5×3.2=14.44.5 \times 3.2 = 14.4
  2. Add Exponents: Add the exponents of the powers of 1010. Calculation: 107×104=107+4=101110^7 \times 10^4 = 10^{7+4} = 10^{11}
  3. Combine Results: Combine the results of the decimal multiplication and the power of 1010.\newlineCalculation: 14.4×101114.4 \times 10^{11}
  4. Write Final Answer: Write the final answer in scientific notation.\newlineCalculation: 1.44×101×1011=1.44×101+11=1.44×10121.44 \times 10^1 \times 10^{11} = 1.44 \times 10^{1+11} = 1.44 \times 10^{12}

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