13 to the Power of 2 = 13 ² = 169

Answer :

13 to the power of 2 = 169

Welcome to our exponent calculator! We're exploring the concept of "13 to the power of 2". Let's break down what this means and how to calculate it.

What are Exponents?

An exponent is a mathematical operation where we multiply a number (called the base) by itself a certain number of times (indicated by the power or exponent). In our case, 13 is the base, and 2 is the exponent.

Calculation

To calculate 13 to the power of 2, we multiply 13 by itself 2 times. Here's the step-by-step process:

Step	Calculation	Result
1	13	13
2	13 × 13	169

Solution: 13 to the power of 2 is equal to 169.

How to write 13 to the power of 2 ?

Step 1: Understand the Concept

"13 to the power of 2" means we're multiplying 13 by itself 2 times. Let's break this down:

13 to the power of 2 = 13 × 13

Step 2: Learn the Notation

In mathematics, we have a special way to write this more concisely. We use superscript notation:

13²

Here, 13 is called the "base", and 2 is called the "exponent" or "power".

Step 3: Understand Alternative Notations

Sometimes, especially when typing or in programming, you might see it written as:

13²

This means the same thing as 13².

Step 4: Calculate the Result

If we actually compute this:

13² = 13 × 13 = 169

Note: Remember, the exponent (2 in this case) tells us how many times to multiply the base (13) by itself.

Practice

Try writing these on your own:

12 to the power of 1
14 to the power of 3
2 to the power of 13

Interactive Power Calculator

Similar Calculations:

Number	Power	Answer
14	2	14² = 196
15	2	15² = 225
16	2	16² = 256

Related Mathematical Operations

Square Root

The square root is the inverse operation of squaring a number. For our example:

v256 ≈ 16.0000

This is approximate because 13^2 isn't a perfect square.

Logarithm

Logarithms are the inverse of exponential functions. The logarithm of 256 with base 13 should equal 2:

log₁₃(256) = 2

Exponent Properties

1. Multiplying exponents with the same base: 13^a * 13^b = 13^(a+b)

Example: 13² * 13³ = 13⁵ = 371293

2. Dividing exponents with the same base: 13^a / 13^b = 13^(a-b)

Example: 13⁵ / 13² = 13³ = 2197

13 to the Power of 2 = 13 2 = 169