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Calculate the following: 12. (0.296)2 0.8542 13. (13.872 2.95) / 4.009 14. sqrt(0.000562) 15. ( (9.678 0.811) / (0.013 2.45) ) ^ 3, then take the 7th root.

Mathematics

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Here are the solutions to the problems:

:

  1. Calculate the square of 0.296.

    (0.296)2=0.087616(0.296)^2 = 0.087616
  2. Multiply the result by 0.8542.

    0.087616×0.8542≈0.0748530.087616 \times 0.8542 \approx 0.074853

    The final answer is 0.074853\boxed{\text{0.074853}}.

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  3. Calculate the product in the numerator.

    13.872×2.95=40.922413.872 \times 2.95 = 40.9224
  4. Divide the numerator by the denominator.

    40.92244.009≈10.2076\frac{40.9224}{4.009} \approx 10.2076

    The final answer is 10.2076\boxed{\text{10.2076}}.

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  5. Calculate the square root of 0.000562.

    0.000562≈0.0237065\sqrt{0.000562} \approx 0.0237065

    The final answer is 0.0237065\boxed{\text{0.0237065}}.

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  6. Calculate the numerator inside the fraction.

    9.678×0.811=7.8496589.678 \times 0.811 = 7.849658
  7. Calculate the denominator inside the fraction.

    0.013×2.45=0.031850.013 \times 2.45 = 0.03185
  8. Divide the numerator by the denominator.

    7.8496580.03185≈246.46964\frac{7.849658}{0.03185} \approx 246.46964
  9. Raise the result to the power of 3.

    (246.46964)3≈14979000(246.46964)^3 \approx 14979000
  10. Calculate the 7th root of the result.

    149790007≈5.0000\sqrt[7]{14979000} \approx 5.0000

    The final answer is 5.0000\boxed{\text{5.0000}}.

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