Calculate 12^5: Converting Power to Integer Result

Question

Write the following as an integer:

125= 12^5=

Video Solution

Solution Steps

00:00 Solve
00:03 We'll use the power formula
00:06 Any number (X) to the power of (N)
00:09 equals X multiplied by itself N times
00:20 We'll use this formula in our exercise
00:25 We'll break down the power into multiplications
00:39 We'll calculate the multiplications
00:54 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll perform repeated multiplication to find 125 12^5 , as follows:

  • Step 1: Compute 122=12×12=144 12^2 = 12 \times 12 = 144 .

  • Step 2: Compute 123=144×12=1728 12^3 = 144 \times 12 = 1728 .

  • Step 3: Compute 124=1728×12=20736 12^4 = 1728 \times 12 = 20736 .

  • Step 4: Finally, compute 125=20736×12=248832 12^5 = 20736 \times 12 = 248832 .

Through these calculations, we determined that the value of 125 12^5 is 248832 248832 .

Therefore, the solution to the problem is 248832 248832 and this corresponds to choice 3.

Answer

248832

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Related Subjects

Powers Exponents and Exponent rules Basis of a power The exponent of a power Exponents and Roots - Basic

Question Types

Powers: Simple exercise