87 to the Power of 2 = 87 ² = 7569

Answer :

87 to the power of 2 = 7569

Welcome to our exponent calculator! We're exploring the concept of "87 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, 87 is the base, and 2 is the exponent.

Calculation

To calculate 87 to the power of 2, we multiply 87 by itself 2 times. Here's the step-by-step process:

Step	Calculation	Result
1	87	87
2	87 × 87	7569

Solution: 87 to the power of 2 is equal to 7569.

How to write 87 to the power of 2 ?

Step 1: Understand the Concept

"87 to the power of 2" means we're multiplying 87 by itself 2 times. Let's break this down:

87 to the power of 2 = 87 × 87

Step 2: Learn the Notation

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

87²

Here, 87 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:

87²

This means the same thing as 87².

Step 4: Calculate the Result

If we actually compute this:

87² = 87 × 87 = 7569

Note: Remember, the exponent (2 in this case) tells us how many times to multiply the base (87) by itself.

Practice

Try writing these on your own:

86 to the power of 1
88 to the power of 3
2 to the power of 87

Interactive Power Calculator

Similar Calculations:

Number	Power	Answer
88	2	88² = 7744
89	2	89² = 7921
90	2	90² = 8100

Related Mathematical Operations

Square Root

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

v8100 ≈ 90.0000

This is approximate because 87^2 isn't a perfect square.

Logarithm

Logarithms are the inverse of exponential functions. The logarithm of 8100 with base 87 should equal 2:

log₈₇(8100) = 2

Exponent Properties

1. Multiplying exponents with the same base: 87^a * 87^b = 87^(a+b)

Example: 87² * 87³ = 87⁵ = 4984209207

2. Dividing exponents with the same base: 87^a / 87^b = 87^(a-b)

Example: 87⁵ / 87² = 87³ = 658503

87 to the Power of 2 = 87 2 = 7569