Exponent notation is a mathematical notation used to write out repeated multiplication of a number. It is an efficient way to express a large number in a short amount of space. For example, 11x 8x 3 5 2x can be written as 11^{8} 3^{5} 2^{2}. Exponent notation is a useful tool for solving complex equations and can be used to describe the size of large numbers. In this article, we will look at how to solve 11x 8x 3 5 2x using exponent notation.

## Understanding Exponent Notation

Exponent notation is used to indicate the number of times a number is multiplied by itself. It is usually written in the form of a base number followed by an exponent, for example 11^{8}. This means that 11 is multiplied by itself 8 times. In other words, 11^{8} = 11 x 11 x 11 x 11 x 11 x 11 x 11 x 11. Exponents can also be used to express fractions. For example, 2^{-1} = 1/2. Therefore, 11^{8} 3^{5} 2^{2} can be interpreted as 11 multiplied by itself 8 times, 3 multiplied by itself 5 times, and 2 multiplied by itself 2 times.

## Solving 11x 8x 3 5 2x Using Exponent Notation

Now that we understand how exponent notation works, we can use it to solve 11x 8x 3 5 2x. The first step is to rewrite the equation using exponent notation. 11x 8x 3 5 2x can be written as 11^{8} 3^{5} 2^{2}. The next step is to calculate the value of each part of the equation. 11^{8} = 11 x 11 x 11 x 11 x 11 x 11 x 11 x 11 = 199,629,880. 3^{5} = 3 x 3 x 3 x 3 x 3 = 243. 2^{2} = 2 x 2 = 4. Finally, we can calculate the total value of 11x 8x 3 5 2x by multiplying these three values together: 199,629,880 x 243 x 4 = 199,639,928,320.

## Using Exponents to Describe Large Numbers

Exponents can also be used to describe the size of large numbers. For example, the number of atoms in the observable universe is estimated to be around 10^{80}. This is an incredibly large number and would be impossible to write out in its entirety. Using exponent notation, we can quickly and easily express this number without having to write out all of the zeros. Exponent notation can also be used to describe the size of very small numbers. For example, the number of atoms in a single grain of sand is estimated to be around 10^{-18}. Again, this number is too small to write out in its entirety, so exponent notation is used to quickly and accurately express its size.

Exponent notation is a useful tool for solving complex equations and can be used to describe the size of large and small numbers. In this article, we have looked at how to solve 11x 8x 3 5 2x using exponent notation. We have also seen how exponent notation can be used to describe the size of large and small numbers. Exponent notation is an efficient and powerful way of expressing numbers and can be used in a variety of mathematical applications.