Powers: Power greater than square

To solve this problem, we'll evaluate $5^3$, which means we need to calculate the product of multiplying the number $5$ by itself three times.

• Step 1: Compute $5 \times 5$.
• Step 2: Compute the result of $5 \times 5$ and multiply it by $5$ again.

Let's work through each step:

Step 1: Calculate $5 \times 5 = 25$.

Step 2: Take the result $25$ and multiply it by $5$:
$25 \times 5 = 125$.

Therefore, the value of $5^3$ is $125$.

To solve the problem of finding $7^3$, follow these steps:

• Step 1: Understand that the power $7^3$ means 7 multiplied by itself three times.
• Step 2: First, compute $7 \times 7$. This equals 49.
• Step 3: Next, multiply the result by 7 again: $49 \times 7$.
• Step 4: Calculate $49 \times 7$, which equals 343.

Therefore, $7^3 = 343$.

With the possible choices given, the correct answer corresponds to choice $343$.

To solve this problem, we'll follow these steps:

• Step 1: Apply the definition of powers to calculate $4^3$.
• Step 2: Multiply 4 by itself to find intermediate results.
• Step 3: Verify the calculation against the given choices.

Now, let's work through each step:

Step 1: We need to calculate $4^3$, which means multiplying 4 by itself a total of three times.

Step 2: First, calculate $4 \times 4 = 16$. Then, multiply this result by 4 again: $16 \times 4 = 64$.

Step 3: The final result is $64$, which matches option 1 in the provided choices.

Therefore, the solution to the problem is $64$.