Questions: The value of 5^4 is greater than the value of 4^5.

Transcript text: The value of $5^{4}$ is greater than the value of $4^{5}$.

Solution

To determine whether $5^4$ is greater than $4^5$, we need to calculate both $5^4$ and $4^5$ and then compare the results.

Step 1: Calculate $5^4$

First, we calculate $5^4$: \[ 5^4 = 5 \times 5 \times 5 \times 5 = 625 \]

Step 2: Calculate $4^5$

Next, we calculate $4^5$: \[ 4^5 = 4 \times 4 \times 4 \times 4 \times 4 = 1024 \]

Step 3: Compare $5^4$ and $4^5$

We compare the two values: \[ 625 < 1024 \]

The value of $5^4$ is not greater than the value of $4^5$. Therefore, the answer is: \[ \boxed{\text{False}} \]

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