Calculate 12^5: Converting Power to Integer Result

Question

Write the following as an integer:

125= 12^5=

Video Solution

Solution Steps

00:05 Alright class, let's solve this problem together.
00:09 We'll use a power formula to help us out.
00:12 So, any number X raised to the power of N means.
00:17 X multiplied by itself, N times. Let's remember this.
00:25 We'll apply this formula in our exercise here.
00:30 Step by step, we'll break the power into simple multiplications.
00:44 Next, we'll carefully calculate each multiplication.
00:59 And there you have it! That is the solution to our 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

More Questions

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