Questions: Use the ALEKS calculator to evaluate each expression. Round your answers to the nearest thousandth. Do not round any intermediate computations. 1.75^-0.5= (4/3)^2.7=

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

1.75^-0.5=
(4/3)^2.7=

Transcript text: 10:17 PM Tue Nov 5 AA DaL Click Here to Access ALEKS Assignments - MAC1105C COREQ COLL ALG ENHA 9.2 Exponential Functions Question 5 of 22 (1 point) | Question Attempt: 1 of 2 $\checkmark 1$ $\checkmark 2$ $\checkmark 3$ $=4$ 5 6 Use the ALEKS calculator to evaluate each expression. Round your answers to the nearest thousandth. Do not round any intermediate computations. \[ \begin{array}{l} 1.75^{-0.5}=\square \\ \left(\frac{4}{3}\right)^{2.7}=\square \end{array} \] Check

Solution

Solution Steps

To solve the given expressions, we need to evaluate each exponential expression using Python. For the first expression, we will calculate the power of 1.75 raised to -0.5. For the second expression, we will calculate the power of (4/3) raised to 2.7. We will use Python's built-in power function and round the results to the nearest thousandth.

Step 1: Evaluate $ 1.75^{-0.5} $

To evaluate the expression $ 1.75^{-0.5} $, we calculate the reciprocal of the square root of $ 1.75 $: \[ 1.75^{-0.5} = \frac{1}{\sqrt{1.75}} \approx 0.7559 \] Rounding this to the nearest thousandth gives: \[ 1.75^{-0.5} \approx 0.756 \]

Step 2: Evaluate $ \left(\frac{4}{3}\right)^{2.7} $

Next, we evaluate the expression $ \left(\frac{4}{3}\right)^{2.7} $: \[ \left(\frac{4}{3}\right)^{2.7} \approx 2.1744 \] Rounding this to the nearest thousandth gives: \[ \left(\frac{4}{3}\right)^{2.7} \approx 2.174 \]