Divide coefficients and subtract exponents of the same variable. EX: (20 x6) / (4 x2) = 5 x4
x^a / x^b = x^(a-b)andx^a * x^b = x^(a+b)
The laws of exponents work the same with rational exponents, the difference being they use fractions not integers.
A polynomial.
Yes. When you divide one variable with an exponent from another, you subtract the exponents
Divide coefficients and subtract exponents of the same variable. EX: (20 x6) / (4 x2) = 5 x4
Yes, monomials can have negative exponents. When a monomial has a negative exponent, it means that the variable or variables in the monomial are in the denominator of the fraction. For example, x^(-2) is equivalent to 1/x^2. Negative exponents indicate that the variable should be moved to the opposite side of the fraction line and the exponent becomes positive.
x^a / x^b = x^(a-b)andx^a * x^b = x^(a+b)
This is a tough question. There aren't many jobs that use monomials and polynomials daily but if you want to have a career as a math teacher you have to know this.
The laws of exponents work the same with rational exponents, the difference being they use fractions not integers.
A polynomial.
When multiplying something with exponents, you add it. When dividing something with exponents, you subtract it.
Yes. When you divide one variable with an exponent from another, you subtract the exponents
An exponent is the raised "mini number" above another one that tells you how many times that number must be multiplied with itself. They are closely linked to monomials. Here is a website with lessons on exponents and it even delves into monomials! It contains some worksheets to help you further understand! http://www.algebra-class.com/exponents-lesson.html
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.
When dividing numbers (or variables) subtract the exponents. Remember, an exponent indicates a kind of multiplication, it is the number of times that a number is multiplied by itself. If you are dividing by that same number, then clearly you are multiplying it by itself a fewer number of times. Division is the inverse function of multiplication.