Mastering The Rules And Properties Of Exponents In Mathematics

Exponent

indicates the number of times the base is used as a factor

In mathematics, an exponent, also known as a power, is a notation used to indicate the number of times that a base is multiplied by itself. It is represented by a superscript number, called the exponent or power, written after the base number. For example, in the expression 3^4, 3 is the base and 4 is the exponent or power.

The exponent indicates the number of times the base is multiplied by itself. In the example above, 3 is multiplied by itself four times:

3 x 3 x 3 x 3 = 81

Exponents are used in a variety of mathematical operations, including logarithms, geometry, calculus, and physics. They can also be used to represent very large or very small numbers in a more manageable form, using scientific notation.

Some common rules and properties of exponents include:

– A number raised to the power of 0 equals 1 (e.g., 5^0 = 1)
– A base raised to a negative exponent is equivalent to 1 divided by the base raised to the positive exponent (e.g., 3^-2 = 1/3^2)
– When multiplying powers with the same base, add the exponents (e.g., 3^2 x 3^3 = 3^5)
– When dividing powers with the same base, subtract the exponents (e.g., 3^5 / 3^2 = 3^3)

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