42 to the Power of 6 = 42 ⁶ = 5489031744

Welcome to our exponent calculator! We're exploring the concept of "42 to the power of 6". 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, 42 is the base, and 6 is the exponent.

Calculation

To calculate 42 to the power of 6, we multiply 42 by itself 6 times. Here's the step-by-step process:

Step	Calculation	Result
1	42	42
2	42 × 42	1764
3	42 × 42 × 42	74088
4	42 × 42 × 42 × 42	3111696
5	42 × 42 × 42 × 42 × 42	130691232
6	42 × 42 × 42 × 42 × 42 × 42	5489031744

Solution: 42 to the power of 6 is equal to 5489031744.

How to write 42 to the power of 6 ?

Step 1: Understand the Concept

"42 to the power of 6" means we're multiplying 42 by itself 6 times. Let's break this down:

42 to the power of 6 = 42 × 42 × 42 × 42 × 42 × 42

Step 2: Learn the Notation

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

42⁶

Here, 42 is called the "base", and 6 is called the "exponent" or "power".

Step 3: Understand Alternative Notations

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

42⁶

This means the same thing as 42⁶.

Step 4: Calculate the Result

If we actually compute this:

42⁶ = 42 × 42 × 42 × 42 × 42 × 42 = 5489031744

Note: Remember, the exponent (6 in this case) tells us how many times to multiply the base (42) by itself.

Practice

Try writing these on your own:

41 to the power of 5
43 to the power of 7
6 to the power of 42

Interactive Power Calculator

Similar Calculations:

Number	Power	Answer
43	6	43⁶ = 6321363049
44	6	44⁶ = 7256313856
45	6	45⁶ = 8303765625
42	5	42⁵ = 130691232

Related Mathematical Operations

Square Root

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

v130691232 ≈ 11,432.0266

This is approximate because 42^6 isn't a perfect square.

Logarithm

Logarithms are the inverse of exponential functions. The logarithm of 130691232 with base 42 should equal 6:

log₄₂(130691232) = 6

Exponent Properties

1. Multiplying exponents with the same base: 42^a * 42^b = 42^(a+b)

Example: 42² * 42³ = 42⁵ = 130691232

2. Dividing exponents with the same base: 42^a / 42^b = 42^(a-b)

Example: 42⁵ / 42² = 42³ = 74088

42 to the Power of 6 = 42 6 = 5489031744