Problem

Approximate the following number using a calculator.
\[
7.9\left(\frac{2}{5}\right)^{2.3}
\]
$7.9\left(\frac{2}{5}\right)^{2.3} \approx \square($ Round to three decimal places as needed. $)$

Answer

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Answer

So, the approximate value of the given expression is \(\boxed{0.96}\).

Steps

Step 1 :Given the expression \(7.9\left(\frac{2}{5}\right)^{2.3}\).

Step 2 :Plug the expression into a calculator.

Step 3 :The result is approximately 0.9602074502665209.

Step 4 :Round the result to three decimal places to get 0.96.

Step 5 :So, the approximate value of the given expression is \(\boxed{0.96}\).

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