14 to the Power of 2 = 14 2 = 196

Answer :

14 to the power of 2 = 196

Welcome to our exponent calculator! We're exploring the concept of "14 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, 14 is the base, and 2 is the exponent.

Calculation

To calculate 14 to the power of 2, we multiply 14 by itself 2 times. Here's the step-by-step process:

Step Calculation Result
11414
214 × 14196

Solution: 14 to the power of 2 is equal to 196.

How to write 14 to the power of 2 ?

Step 1: Understand the Concept

"14 to the power of 2" means we're multiplying 14 by itself 2 times. Let's break this down:

14 to the power of 2 = 14 × 14

Step 2: Learn the Notation

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

142

Here, 14 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:

142

This means the same thing as 142.

Step 4: Calculate the Result

If we actually compute this:

142 = 14 × 14 = 196
Note: Remember, the exponent (2 in this case) tells us how many times to multiply the base (14) by itself.

Practice

Try writing these on your own:

  1. 13 to the power of 1
  2. 15 to the power of 3
  3. 2 to the power of 14

Interactive Power Calculator

Similar Calculations:

Number Power Answer
15 2 152 = 225
16 2 162 = 256
17 2 172 = 289

Related Mathematical Operations

Square Root

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

v289 ≈ 17.0000

This is approximate because 14^2 isn't a perfect square.

Logarithm

Logarithms are the inverse of exponential functions. The logarithm of 289 with base 14 should equal 2:

log14(289) = 2

Exponent Properties

1. Multiplying exponents with the same base: 14a * 14b = 14(a+b)

Example: 142 * 143 = 145 = 537824

2. Dividing exponents with the same base: 14a / 14b = 14(a-b)

Example: 145 / 142 = 143 = 2744

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