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

[tex]\[ 3.2^{1.5} = \, \square \][/tex]

[tex]\[ \left(\frac{3}{5}\right)^{-0.85} = \, \square \][/tex]

Sagot :

GinnyAnsweridn
To solve the expressions and round them to the nearest thousandth, follow these steps:

1. Evaluate the expression [tex]\( 3.2^{1.5} \)[/tex]:
- Calculate [tex]\( 3.2^{1.5} \)[/tex].
- The value of this expression is approximately [tex]\( 5.7243340223994625 \)[/tex].
- Round this result to the nearest thousandth. The rounded value is [tex]\( 5.724 \)[/tex].

Therefore,
[tex]\( 3.2^{1.5} \approx 5.724 \)[/tex].

2. Evaluate the expression [tex]\( \left(\frac{3}{5}\right)^{-0.85} \)[/tex]:
- Calculate [tex]\( \left( \frac{3}{5} \right)^{-0.85} \)[/tex].
- The value of this expression is approximately [tex]\( 1.5437303309085206 \)[/tex].
- Round this result to the nearest thousandth. The rounded value is [tex]\( 1.544 \)[/tex].

Therefore,
[tex]\(\left(\frac{3}{5}\right)^{-0.85} \approx 1.544\)[/tex].

So, the solutions to the given expressions rounded to the nearest thousandth are:
[tex]\[ 3.2^{1.5} \approx 5.724 \][/tex]
[tex]\[ \left(\frac{3}{5}\right)^{-0.85} \approx 1.544 \][/tex]
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