exponents

Any number raised to the zero power (except 0) equals 1. Any number raised to the power of one equals itself.

1)a1 = a Any number raised to the power of one equals the number itself. 2) For any number a, except 0, a0 = 1 Any number raised to the power of zero, except zero, equals one.

A number with an exponent is said to be "raised to the power" of that exponent. In words: 8^2 could be called "8 to the power 2" or "8 to the second power", or simply "8 squared"

2 to the fourth power

An exponent tells you how many times the base number is used as a factor.

A base of five raised to the second power is called "five squared" and means "five times five." Five raised to the third power is called "five cubed" and means "five times five times five."

These are mistakes that students often make when dealing with exponents.

Do not multiply the base and the exponent. 26 is not equal to 12, it's 64! The multiplication rule only applies to expressions with the same base. Four squared times two cubed is not the same as 8 raised to the power two plus three. Mistake! The multiplication rule applies just to the product, not to the sum of two numbers. Example: 53 = 5 × 5 × 5 = 125 In words: 53 could be called "5 to the third power", "5 to the power 3" or simply "5 cubed" Example: 24 = 2 × 2 × 2 × 2 = 16 In words: 24 could be called "2 to the fourth power" or "2 to the power 4" or simply "2 to the 4th"

exponents

Exponents are a shorthand way to show how many times a number, called the base, is multiplied times itself. An exponent tells you how many times the base number is used as a factor. The exponent of a number says how many times to use the number in a multiplication. Exponents are also called Powers or Indices. Exponents make it easier to write and use many multiplications You can multiply any number by itself as many times as you want using exponents. Exponents are shorthand for repeated multiplication of the same thing by itself.