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((8.4 ×10^(10)))/((1.6 ×10^(4)))

(8.4×1010)(1.6×104) \frac{\left(8.4 \times 10^{10}\right)}{\left(1.6 \times 10^{4}\right)}

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Full solution

Q. (8.4×1010)(1.6×104) \frac{\left(8.4 \times 10^{10}\right)}{\left(1.6 \times 10^{4}\right)}
  1. Write Problem in Scientific Notation: Write down the division problem in scientific notation.\newline(8.4×1010)/(1.6×104)(8.4 \times 10^{10}) / (1.6 \times 10^{4})
  2. Divide Coefficients and Exponents: Divide the coefficients (the numbers in front of the powers of 1010) and subtract the exponents of 1010.\newline(8.4/1.6)×10(10−4)(8.4 / 1.6) \times 10^{(10 - 4)}
  3. Perform Coefficient Division: Perform the division of the coefficients. 8.4/1.6=5.258.4 / 1.6 = 5.25
  4. Subtract Exponents: Subtract the exponents. 10(10−4)=10610^{(10 - 4)} = 10^6
  5. Combine Results: Combine the results of the coefficient division and the exponent subtraction. 5.25×1065.25 \times 10^6

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