Question

0.15=

Use the ALEKS calculator to evaluate each expréssion.
Round your answers to the nearest thousandth.
Do not round amy intermediate computations.

Answer 1

The expression
`\(0.4^(-0.15)\)` is approximately equal to 1.149 when rounded to the nearest thousandth. This result is obtained by calculating the reciprocal of
`\(0.4^(0.15)\)`.

To evaluate
`\(0.4^(-0.15)\)`, you can follow these steps:

`\[0.4^(-0.15) = (1)/(0.4^(0.15))\]`

Now, calculate
`\(0.4^(0.15)\)` and take the reciprocal:

`\[0.4^(0.15) \approx 0.870\]`

Now, take the reciprocal:

`\[0.4^(-0.15) \approx (1)/(0.870) \approx 1.149\]`

Therefore,
`\(0.4^(-0.15) \approx 1.149\)` rounded to the nearest thousandth.

Evaluating
`\(0.4^(-0.15)\)` involves finding the reciprocal of
`\(0.4^(0.15)\)`. To compute this, first determine the value of
`\(0.4^(0.15)\)`, and then take its reciprocal. The rounded result is approximately 1.149. The process showcases the interplay between exponents, reciprocals, and rounding in mathematical calculations.

The complete question is:

Use the ALEKS calculator to evaluate each expression. Round your answers to the nearest thousandth. Do not round any intermediate computations.

0.4^{-0.15}