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8(3,6 x 102 / 9 x 105)

Mathematics

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Answer

3.2×10−3\text{3.2} \times 10^{-3}

Step-by-step solution

6 steps

  1. Perform the division inside the parentheses.

    Divide the numerical parts and the powers of 10 separately.

    3.6×102÷(9×105)=(3.69)×(102105)3.6 \times 10^2 \div (9 \times 10^5) = \left(\frac{3.6}{9}\right) \times \left(\frac{10^2}{10^5}\right)

  2. Calculate the division of the numerical parts.

    3.69=0.4\frac{3.6}{9} = 0.4

  3. Calculate the division of the powers of 10 by subtracting the exponents.

    102105=102−5=10−3\frac{10^2}{10^5} = 10^{2-5} = 10^{-3}

  4. Combine the results from Step 2 and Step 3 to simplify the expression inside the parentheses.

    0.4×10−30.4 \times 10^{-3}

  5. Multiply the result from Step 4 by 8.

    8×(0.4×10−3)=(8×0.4)×10−38 \times (0.4 \times 10^{-3}) = (8 \times 0.4) \times 10^{-3} 8×0.4=3.28 \times 0.4 = 3.2

  6. Write the final answer in scientific notation.

    3.2×10−33.2 \times 10^{-3}
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