add:%205(0.5k%E2%88%921)+2(0.4%E2%88%92k).%20Answer%20should%20be%20in%20decimal%20form.(1%20point

Answer 1

To solve the expression \( 5(0.5k^{-1}) + 2(0.4k^{-2}) \), we can first rewrite it:

1. Rewrite the terms:

   • \( 0.5k^{-1} \) is the same as \( \frac{0.5}{k} \)
   • \( 0.4k^{-2} \) is the same as \( \frac{0.4}{k^2} \)

2. Substitute these into the expression: \[ 5 \left( \frac{0.5}{k} \right) + 2 \left( \frac{0.4}{k^2} \right) \]

3. Simplify each term:

   • \( 5 \times 0.5 = 2.5 \)
   • \( 2 \times 0.4 = 0.8 \)

So the expression becomes: \[ \frac{2.5}{k} + \frac{0.8}{k^2} \]

The final result in decimal form is: \[ \frac{2.5}{k} + \frac{0.8}{k^2} \]

Please provide a value for \( k \) if you would like a specific numerical answer.