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

Fill in the missing number:

3=555 ☐^3=5\cdot5\cdot5

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Fill in the missing number:

3=555 ☐^3=5\cdot5\cdot5

2

Step-by-step solution

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

  • Step 1: Evaluate the power expression 5555 \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=555☐^3 = 5 \cdot 5 \cdot 5

Now, let's work through these steps:

Step 1: Calculate the power expression.

555=1255 \cdot 5 \cdot 5 = 125

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

Since 53=1255^3 = 125, it follows that the missing number must be 5.

Step 3: Verify that 53=1255^3 = 125.

Therefore, the solution to the given problem is 55.

3

Final Answer

5

Practice Quiz

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Choose the expression that is equal to the following:

\( 2^7 \)

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