Q: Do one use exponents numbers or units?

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Scientific notation is a way to write very large or very small numbers using exponents. For example 2000 is 2x103 . We can do the same thing with negative exponents and write very small numbers like 1/2000 which is 2x10-3 . So one real life use of exponents in in scientific notation.

Fortunately there are websites dedicated to mathematics that provide guides and tips. The website LearnZillion provides a video tutorial on how to use whole number exponents to denote powers.

You can use any number - rational or otherwise - as an exponent.

Because

Numbers expressed using exponents are called powers. When writing a number expressed as an exponent, the number is called the base.

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Scientific notation is a way to write very large or very small numbers using exponents. For example 2000 is 2x103 . We can do the same thing with negative exponents and write very small numbers like 1/2000 which is 2x10-3 . So one real life use of exponents in in scientific notation.

Fortunately there are websites dedicated to mathematics that provide guides and tips. The website LearnZillion provides a video tutorial on how to use whole number exponents to denote powers.

You can use any number - rational or otherwise - as an exponent.

Because

Numbers expressed using exponents are called powers. When writing a number expressed as an exponent, the number is called the base.

One use is shorthand for large numbers, eg the mass of the earth is 5960000000000000000000000 kg , which can be expressed as: 5.96 * 1024 kg there are also rules for multiplying / dividing exponential numbers

Exponents are used to replace repeated factors. Prime numbers won't use exponents because they don't have repeated factors. To express the prime factorization of a particular composite number using exponents, just count. 2 x 2 x 2 x 3 x 3 = 72 23 x 32 = 72

For convenience. Sometimes larger numbers have a lot of repeated factors.

Formulae is one of the plurals for formula. There are many formulas in mathematics. For example, the formula for the area of a rectangle is length x width. You use it by plugging in numbers. If the length is 7 units and the width is 5 units, the area is 35 square units

Scientific notation is the use of exponents to indicate large numbers; for example, the number 25,000,000 can also be written in the form 2.5 x 107

The laws of exponents work the same with rational exponents, the difference being they use fractions not integers.

A carpenter won't usually have much use for exponents, or other advanced math topics.