42 to the Power of 7 = 42 ⁷ = 230539333248

Answer :

42 to the power of 7 = 230539333248

Welcome to our exponent calculator! We're exploring the concept of "42 to the power of 7". 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 7 is the exponent.

Calculation

To calculate 42 to the power of 7, we multiply 42 by itself 7 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
7	42 × 42 × 42 × 42 × 42 × 42 × 42	230539333248

Solution: 42 to the power of 7 is equal to 230539333248.

How to write 42 to the power of 7 ?

Step 1: Understand the Concept

"42 to the power of 7" means we're multiplying 42 by itself 7 times. Let's break this down:

42 to the power of 7 = 42 × 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:

42⁷

Here, 42 is called the "base", and 7 is called the "exponent" or "power".

Step 3: Understand Alternative Notations

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

42⁷

This means the same thing as 42⁷.

Step 4: Calculate the Result

If we actually compute this:

42⁷ = 42 × 42 × 42 × 42 × 42 × 42 × 42 = 230539333248

Note: Remember, the exponent (7 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 6
43 to the power of 8
7 to the power of 42

Interactive Power Calculator

Similar Calculations:

Number	Power	Answer
43	7	43⁷ = 271818611107
44	7	44⁷ = 319277809664
45	7	45⁷ = 373669453125
42	6	42⁶ = 5489031744

Related Mathematical Operations

Square Root

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

v5489031744 ≈ 74,088.0000

This is approximate because 42^7 isn't a perfect square.

Logarithm

Logarithms are the inverse of exponential functions. The logarithm of 5489031744 with base 42 should equal 7:

log₄₂(5489031744) = 7

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 7 = 42 7 = 230539333248