Questions: 3.1^1.9= (3/4)^-0.95=

Transcript text: \[ 3.1^{1.9}= \] \[ \left(\frac{3}{4}\right)^{-0.95}= \]

Solution

Solution Steps

Step 1: Evaluate \( 3.1^{1.9} \)

To find the value of \( 3.1^{1.9} \), we compute the exponentiation: \[ 3.1^{1.9} \approx 8.581974470851543 \]

Step 2: Evaluate \( \left(\frac{3}{4}\right)^{-0.95} \)

Next, we evaluate the expression \( \left(\frac{3}{4}\right)^{-0.95} \). The negative exponent indicates that we take the reciprocal: \[ \left(\frac{3}{4}\right)^{-0.95} = \left(\frac{4}{3}\right)^{0.95} \approx 1.3142918044757528 \]

Final Answer

\[ 3.1^{1.9} \approx \boxed{8.581974470851543} \] \[ \left(\frac{3}{4}\right)^{-0.95} \approx \boxed{1.3142918044757528} \]

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