Approximate the following number using a calculator.

Question

5^-1.6

5^-1.6 ~~ blank (Round to three decimal places as needed.)

Answer 1

To approximate \(5^{-1.6}\), you can use a calculator to find the value:

\[ 5^{-1.6} = \frac{1}{5^{1.6}} \]

Calculating \(5^{1.6}\) first:

\[ 5^{1.6} \approx 11.1803 \]

Then take the reciprocal:

\[ 5^{-1.6} \approx \frac{1}{11.1803} \approx 0.0895 \]

Rounding to three decimal places gives:

\[ 5^{-1.6} \approx 0.090 \]

So the final answer is:

\[ 5^{-1.6} \approx 0.090 \]