15 to the Power of 2 = 15 ² = 225

Answer :

15 to the power of 2 = 225

Welcome to our exponent calculator! We're exploring the concept of "15 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, 15 is the base, and 2 is the exponent.

Calculation

To calculate 15 to the power of 2, we multiply 15 by itself 2 times. Here's the step-by-step process:

Step	Calculation	Result
1	15	15
2	15 × 15	225

Solution: 15 to the power of 2 is equal to 225.

How to write 15 to the power of 2 ?

Step 1: Understand the Concept

"15 to the power of 2" means we're multiplying 15 by itself 2 times. Let's break this down:

15 to the power of 2 = 15 × 15

Step 2: Learn the Notation

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

15²

Here, 15 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:

15²

This means the same thing as 15².

Step 4: Calculate the Result

If we actually compute this:

15² = 15 × 15 = 225

Note: Remember, the exponent (2 in this case) tells us how many times to multiply the base (15) by itself.

Practice

Try writing these on your own:

14 to the power of 1
16 to the power of 3
2 to the power of 15

Interactive Power Calculator

Similar Calculations:

Number	Power	Answer
16	2	16² = 256
17	2	17² = 289
18	2	18² = 324

Related Mathematical Operations

Square Root

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

v324 ≈ 18.0000

This is approximate because 15^2 isn't a perfect square.

Logarithm

Logarithms are the inverse of exponential functions. The logarithm of 324 with base 15 should equal 2:

log₁₅(324) = 2

Exponent Properties

1. Multiplying exponents with the same base: 15^a * 15^b = 15^(a+b)

Example: 15² * 15³ = 15⁵ = 759375

2. Dividing exponents with the same base: 15^a / 15^b = 15^(a-b)

Example: 15⁵ / 15² = 15³ = 3375

15 to the Power of 2 = 15 2 = 225