Approximate the number using a calculator.
[tex]$6^{1.4}$[/tex]
[tex]$6^{1.4} \approx$[/tex] (Round to three decimal places.)
Answer (2)
Calculate 6 1.4 .
Round the result to three decimal places.
6 1.4 ≈ 12.286 .
The final answer is 12.286 .
Explanation
Understanding the problem We are asked to approximate 6 1.4 using a calculator and round the result to three decimal places.
Calculating the value Using a calculator, we find that 6 1.4 ≈ 12.286035066475314 .
Rounding to three decimal places Rounding this result to three decimal places, we get 12.286 .
Final Answer Therefore, 6 1.4 ≈ 12.286 .
Examples
Imagine you are calculating the growth of a plant where the growth rate is proportional to a fractional power of time. For example, the height of the plant might be modeled by h = 6 t 1.4 , where t is the time in weeks. After one week, the height would be approximately 12.286 units. This kind of calculation is common in various scientific and engineering applications where exponential or power-law relationships are involved.
The approximate value of 6 1.4 is 12.286 . This value is calculated using a calculator and rounded to three decimal places. Thus, the final answer is 12.286 .
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