Find the Missing Exponent in 4^☐ = 4×4×4×4: Power Equation Solver

Question

Fill in the missing number:

4=4444 4^☐=4\cdot4\cdot4\cdot4

Video Solution

Solution Steps

00:00 Complete the missing number
00:03 Let's use the power formula
00:06 Any number (X) raised to any power (N)
00:09 equals X multiplied by itself N times
00:17 Let's use this formula in our exercise
00:27 X is the number being multiplied
00:32 The number of multiplications equals the exponent (N)
00:37 And this is the solution to the question

Step-by-Step Solution

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

  • Step 1: Identify how many times 4 is multiplied by itself in the expression 44444 \cdot 4 \cdot 4 \cdot 4.
  • Step 2: Determine the exponent that matches this count.

Now, let's work through each step:
Step 1: In the expression 44444 \cdot 4 \cdot 4 \cdot 4, the base number 4 is multiplied by itself 4 times.
Step 2: According to the rule of exponents, ana^n is the notation for a number aa multiplied by itself nn times.

Therefore, the correct exponent for 44 in the expression is 4, so the missing number is 4\mathbf{4}. The complete expression is 444^4.

Therefore, the solution to the problem is 4 4 .

Answer

4