16 to the Power of 6 = 16 ⁶ = 16777216

Answer :

16 to the power of 6 = 16777216

Welcome to our exponent calculator! We're exploring the concept of "16 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, 16 is the base, and 6 is the exponent.

Calculation

To calculate 16 to the power of 6, we multiply 16 by itself 6 times. Here's the step-by-step process:

Step	Calculation	Result
1	16	16
2	16 × 16	256
3	16 × 16 × 16	4096
4	16 × 16 × 16 × 16	65536
5	16 × 16 × 16 × 16 × 16	1048576
6	16 × 16 × 16 × 16 × 16 × 16	16777216

Solution: 16 to the power of 6 is equal to 16777216.

How to write 16 to the power of 6 ?

Step 1: Understand the Concept

"16 to the power of 6" means we're multiplying 16 by itself 6 times. Let's break this down:

16 to the power of 6 = 16 × 16 × 16 × 16 × 16 × 16

Step 2: Learn the Notation

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

16⁶

Here, 16 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:

16⁶

This means the same thing as 16⁶.

Step 4: Calculate the Result

If we actually compute this:

16⁶ = 16 × 16 × 16 × 16 × 16 × 16 = 16777216

Note: Remember, the exponent (6 in this case) tells us how many times to multiply the base (16) by itself.

Practice

Try writing these on your own:

15 to the power of 5
17 to the power of 7
6 to the power of 16

Interactive Power Calculator

Similar Calculations:

Number	Power	Answer
17	6	17⁶ = 24137569
18	6	18⁶ = 34012224
19	6	19⁶ = 47045881
16	5	16⁵ = 1048576

Related Mathematical Operations

Square Root

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

v1048576 ≈ 1,024.0000

This is approximate because 16^6 isn't a perfect square.

Logarithm

Logarithms are the inverse of exponential functions. The logarithm of 1048576 with base 16 should equal 6:

log₁₆(1048576) = 6

Exponent Properties

1. Multiplying exponents with the same base: 16^a * 16^b = 16^(a+b)

Example: 16² * 16³ = 16⁵ = 1048576

2. Dividing exponents with the same base: 16^a / 16^b = 16^(a-b)

Example: 16⁵ / 16² = 16³ = 4096

16 to the Power of 6 = 16 6 = 16777216