Questions: Perform the indicated operations. 4^2 * 5^3 4^2 * 5^3 =

Perform the indicated operations. 4^2 * 5^3 4^2 * 5^3 =
Transcript text: Perform the indicated operations. \[ \begin{array}{r} 4^{2} \cdot 5^{3} \\ 4^{2} \cdot 5^{3}= \end{array} \]
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Solution

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Solution Steps

To solve the given expression, we need to evaluate the powers of the numbers separately and then multiply the results. Specifically, calculate \(4^2\) and \(5^3\), and then multiply these two results together.

Step 1: Calculate \(4^2\)

First, we calculate the square of 4: \[ 4^2 = 16 \]

Step 2: Calculate \(5^3\)

Next, we calculate the cube of 5: \[ 5^3 = 125 \]

Step 3: Multiply the Results

Finally, we multiply the results from the previous steps: \[ 16 \times 125 = 2000 \]

Final Answer

\(\boxed{2000}\)

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