Calculate 13^4: Converting Power to Integer Form

Video Solution

Solution Steps

00:00 Solve

00:03 Let's use the power formula

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

00:09 equals X multiplied by itself N times

00:17 Let's use this formula in our exercise

00:21 Let's break down the power into multiplications

00:38 Let's calculate the multiplications

00:46 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we will perform step-by-step calculations to find $13^4$ :

Step 1: Calculate $13^2$ . We have $13 \times 13 = 169$ .
Step 2: Calculate $13^3$ using the result from Step 1. We multiply $169 \times 13$ . Performing the multiplication:
$169 \times 13 = 169 \times (10 + 3) = 169 \times 10 + 169 \times 3 = 1690 + 507 = 2197$ .
Step 3: Calculate $13^4$ using the result from Step 2. Multiply $2197 \times 13$ . Performing the multiplication:
$2197 \times 13 = 2197 \times (10 + 3) = 2197 \times 10 + 2197 \times 3 = 21970 + 6591 = 28561$ .

Therefore, the value of $13^4$ is 28561, which corresponds to choice (2).