488 to the Power of 6 = 488 ⁶ = 1.350575701649E+16

Answer :

488 to the power of 6 = 1.350575701649E+16

Welcome to our exponent calculator! We're exploring the concept of "488 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, 488 is the base, and 6 is the exponent.

Calculation

To calculate 488 to the power of 6, we multiply 488 by itself 6 times. Here's the step-by-step process:

Step	Calculation	Result
1	488	488
2	488 × 488	238144
3	488 × 488 × 488	116214272
4	488 × 488 × 488 × 488	56712564736
5	488 × 488 × 488 × 488 × 488	27675731591168
6	488 × 488 × 488 × 488 × 488 × 488	1.350575701649E+16

Solution: 488 to the power of 6 is equal to 1.350575701649E+16.

How to write 488 to the power of 6 ?

Step 1: Understand the Concept

"488 to the power of 6" means we're multiplying 488 by itself 6 times. Let's break this down:

488 to the power of 6 = 488 × 488 × 488 × 488 × 488 × 488

Step 2: Learn the Notation

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

488⁶

Here, 488 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:

488⁶

This means the same thing as 488⁶.

Step 4: Calculate the Result

If we actually compute this:

488⁶ = 488 × 488 × 488 × 488 × 488 × 488 = 1.350575701649E+16

Note: Remember, the exponent (6 in this case) tells us how many times to multiply the base (488) by itself.

Practice

Try writing these on your own:

487 to the power of 5
489 to the power of 7
6 to the power of 488

Interactive Power Calculator

Similar Calculations:

Number	Power	Answer
489	6	489⁶ = 1.3672664422369E+16
490	6	490⁶ = 1.3841287201E+16
491	6	491⁶ = 1.4011639427134E+16
488	5	488⁵ = 27675731591168

Related Mathematical Operations

Square Root

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

v27675731591168 ≈ 5,260,772.9082

This is approximate because 488^6 isn't a perfect square.

Logarithm

Logarithms are the inverse of exponential functions. The logarithm of 27675731591168 with base 488 should equal 6:

log₄₈₈(27675731591168) = 6

Exponent Properties

1. Multiplying exponents with the same base: 488^a * 488^b = 488^(a+b)

Example: 488² * 488³ = 488⁵ = 27675731591168

2. Dividing exponents with the same base: 488^a / 488^b = 488^(a-b)

Example: 488⁵ / 488² = 488³ = 116214272

488 to the Power of 6 = 488 6 = 1.350575701649E+16