Exponent or Power: It is a number which indicates the number of times multiplication is to be performed. It is written above the base number on its right side. An exponent can be a positive or negative number. The number 5 is called the base, and the number 2 is called the exponent. The exponent corresponds to the number of times the base is used as a factor. Exponents are critical in math because they allow us to abbreviate something that would otherwise be tedious to write. If we want to express in mathematics the product of x multiplied by itself 7 times, without exponents, we'd only be able to write that as xxxxxxx, x multiplied by itself 7 times in a row.
Laws of Exponents. When multiplying like bases, keep the base the same and add the exponents. When raising a base with power to another power, keep the base the same and multiply the exponents. When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent. The topic Laws of exponent with integral powers explains about three laws which need to be kept in mind while solving complex numerical problems. It includes laws of multiplication, division, double exponents, zero exponents, etc.