16 to the Power of 9 = 16 ⁹ = 68719476736

Answer :

16 to the power of 9 = 68719476736

Welcome to our exponent calculator! We're exploring the concept of "16 to the power of 9". 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 9 is the exponent.

Calculation

To calculate 16 to the power of 9, we multiply 16 by itself 9 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
7	16 × 16 × 16 × 16 × 16 × 16 × 16	268435456
8	16 × 16 × 16 × 16 × 16 × 16 × 16 × 16	4294967296
9	16 × 16 × 16 × 16 × 16 × 16 × 16 × 16 × 16	68719476736

Solution: 16 to the power of 9 is equal to 68719476736.

How to write 16 to the power of 9 ?

Step 1: Understand the Concept

"16 to the power of 9" means we're multiplying 16 by itself 9 times. Let's break this down:

16 to the power of 9 = 16 × 16 × 16 × 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:

16⁹

Here, 16 is called the "base", and 9 is called the "exponent" or "power".

Step 3: Understand Alternative Notations

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

16⁹

This means the same thing as 16⁹.

Step 4: Calculate the Result

If we actually compute this:

16⁹ = 16 × 16 × 16 × 16 × 16 × 16 × 16 × 16 × 16 = 68719476736

Note: Remember, the exponent (9 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 8
17 to the power of 10
9 to the power of 16

Interactive Power Calculator

Similar Calculations:

Number	Power	Answer
17	9	17⁹ = 118587876497
18	9	18⁹ = 198359290368
19	9	19⁹ = 322687697779
16	8	16⁸ = 4294967296

Related Mathematical Operations

Square Root

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

v4294967296 ≈ 65,536.0000

This is approximate because 16^9 isn't a perfect square.

Logarithm

Logarithms are the inverse of exponential functions. The logarithm of 4294967296 with base 16 should equal 9:

log₁₆(4294967296) = 9

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 9 = 16 9 = 68719476736