89 to the Power of 2 = 89 ² = 7921

Answer :

89 to the power of 2 = 7921

Welcome to our exponent calculator! We're exploring the concept of "89 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, 89 is the base, and 2 is the exponent.

Calculation

To calculate 89 to the power of 2, we multiply 89 by itself 2 times. Here's the step-by-step process:

Step	Calculation	Result
1	89	89
2	89 × 89	7921

Solution: 89 to the power of 2 is equal to 7921.

How to write 89 to the power of 2 ?

Step 1: Understand the Concept

"89 to the power of 2" means we're multiplying 89 by itself 2 times. Let's break this down:

89 to the power of 2 = 89 × 89

Step 2: Learn the Notation

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

89²

Here, 89 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:

89²

This means the same thing as 89².

Step 4: Calculate the Result

If we actually compute this:

89² = 89 × 89 = 7921

Note: Remember, the exponent (2 in this case) tells us how many times to multiply the base (89) by itself.

Practice

Try writing these on your own:

88 to the power of 1
90 to the power of 3
2 to the power of 89

Interactive Power Calculator

Similar Calculations:

Number	Power	Answer
90	2	90² = 8100
91	2	91² = 8281
92	2	92² = 8464

Related Mathematical Operations

Square Root

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

v8464 ≈ 92.0000

This is approximate because 89^2 isn't a perfect square.

Logarithm

Logarithms are the inverse of exponential functions. The logarithm of 8464 with base 89 should equal 2:

log₈₉(8464) = 2

Exponent Properties

1. Multiplying exponents with the same base: 89^a * 89^b = 89^(a+b)

Example: 89² * 89³ = 89⁵ = 5584059449

2. Dividing exponents with the same base: 89^a / 89^b = 89^(a-b)

Example: 89⁵ / 89² = 89³ = 704969

89 to the Power of 2 = 89 2 = 7921