Solve for the Cube Root: Finding the Number in ☐³ = 5×5×5

Question

Fill in the missing number:

$☐^3=5\cdot5\cdot5$

00:00 Complete the missing number

00:03 We will use the power formula

00:06 Any number (X) to the power of (N)

00:09 equals X multiplied by itself N times

00:18 We will use this formula in our exercise

00:22 X is the number being multiplied

00:28 We'll count the number of multiplications to find the unknown N

00:36 And this is the solution to the question

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

Step 1: Evaluate the power expression $5 \cdot 5 \cdot 5$
Step 2: Determine the number whose cube matches this evaluated expression
Step 3: Conclude with the missing number that satisfies $☐^3 = 5 \cdot 5 \cdot 5$

Now, let's work through these steps:

Step 1: Calculate the power expression.

$5 \cdot 5 \cdot 5 = 125$

Step 2: Determine the cube root of 125 to find the missing number.

Since $5^3 = 125$ , it follows that the missing number must be 5.

Step 3: Verify that $5^3 = 125$ .

Therefore, the solution to the given problem is $5$ .