When dividing numbers with exponents, subtract the bottom exponent from the top exponent.
It wasn't necessary to 'create' any rules. They follow logically from the definition of exponents.
property of negative exponents
power in a math term is when you multiply the exponents
It certainly has a meaning. It is only meaningless if you consider powers as repeated multiplication; but the "extended" definition, for negative and fractional exponents, makes a lot of sense, and it is regularly used in math and science.
When dividing numbers with exponents, subtract the bottom exponent from the top exponent.
It wasn't necessary to 'create' any rules. They follow logically from the definition of exponents.
property of negative exponents
The definition for polynomials is very restrictive. This is because it will give more information. It excludes radicals, negative exponents, and fractional exponents. When these are included, the expression becomes rational and not polynomial.
power in a math term is when you multiply the exponents
An integer exponent is a count of the number of times a particular number (the base) must be multiplied together. For example, for the base x, x^a means x*x*x*...*x where there are a lots of x in the multiplication. The definition is simple to understand for integer values of the exponent. This definition gives rise to the laws of exponents, and these allow this definition to be extended to the case where the exponents are negative, fractions, irrational and even complex numbers.
It certainly has a meaning. It is only meaningless if you consider powers as repeated multiplication; but the "extended" definition, for negative and fractional exponents, makes a lot of sense, and it is regularly used in math and science.
The exponents are added.
you do not do anything when you add numbers with exponents. you just figure out the answer. it is only if you multiply numbers with exponents, where you add the exponents..
Fractional exponents follow the same rules as integral exponents. Integral exponents are numbers raised to an integer power.
dissimilar terms are terms that do not have the same variable or the variable do not contain the same number of exponents
The degree of a polynomial is the sum of all of the variable exponents. For example 6x^2 + 3x + 2 has a degree of 3 (2 + 1).