Approximate the number using a calculator.
[tex]6^{1.4}[/tex]
[tex]6^{1.4} \approx[/tex] $\square$ (Round to three decimal places.)
Answer (2)
To approximate 6 1.4 , we calculate it using a calculator and find it to be approximately 12.286 when rounded to three decimal places.
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Calculate 6 1.4 .
Round the result to three decimal places.
The approximation of 6 1.4 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 $6^{1.4}
\approx 12.286035066475314$.
Rounding the Result Rounding this result to three decimal places, we get 12.286 .
Examples
Exponents are used to model exponential growth and decay in various real-world scenarios, such as population growth, compound interest, and radioactive decay. For example, if you invest money in an account with compound interest, the amount of money you have after a certain period can be calculated using an exponential function. Understanding exponents helps you predict how your investment will grow over time.
