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there are different rules to follow on how to multiply and divide algebraic expressions. but its basics concerns on what kind of terms you are using and the deep concern about its exponents. when you multiply or divide, it is very basic to utilize the distributive method, exponents are being added when we multiply, while subtracted when we divide.

Q: What are the rules of multiplying and division on algebraic expression?

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There are a few rules for simplifying an algebraic expression. Specifically, one should combine like terms, and then they should try to isolate the variable by doing the opposite, either multiplication or division.

Parenthesis, Exponents, Multiplication or Division(whichever come first from left to right*), Addition or Subtraction *

The rules are not the same.Multiplication is commutative whereas division is not.Multiplication is associative whereas division is not.

If you multiply X by Y you have to write XY (in alphabetical order).If you divide X by 2 you should write X over 2 (like a fraction).

In mathematics, an expression is a finite combination of symbols that are well-formed according to the rules applicable in the context...

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There are a few rules for simplifying an algebraic expression. Specifically, one should combine like terms, and then they should try to isolate the variable by doing the opposite, either multiplication or division.

Parenthesis, Exponents, Multiplication or Division(whichever come first from left to right*), Addition or Subtraction *

Multiplying fractions is all about division

The rules are not the same.Multiplication is commutative whereas division is not.Multiplication is associative whereas division is not.

If you multiply X by Y you have to write XY (in alphabetical order).If you divide X by 2 you should write X over 2 (like a fraction).

Answer: In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number).[1] For example, {\displaystyle 3x^{2}-2xy+c} is an algebraic expression. Since taking the square rootis the same as raising to the power {\displaystyle {\tfrac {1}{2}}}, {\displaystyle {\sqrt {\frac {1-x^{2}}{1+x^{2}}}}} is also an algebraic expression. By contrast, transcendental numbers like Οand e are not algebraic. A rational expression is an expressionthat may be rewritten to a rational fraction by using the properties of the arithmetic operations (commutative properties and associative properties of addition and multiplication, distributive property and rules for the operations on the fractions). In other words, a rational expression is an expression which may be constructed from the variables and the constants by using only the four operations of arithmetic. Thus, {\displaystyle {\frac {3x^{2}-2xy+c}{y^{3}-1}}} is a rational expression, whereas {\displaystyle {\sqrt {\frac {1-x^{2}}{1+x^{2}}}}} is not. A rational equation is an equation in which two rational fractions (or rational expressions) of the form {\displaystyle {\frac {P(x)}{Q(x)}}} are set equal to each other. These expressions obey the same rules as fractions. The equations can be solved by cross-multiplying. Division by zero is undefined, so that a solution causing formal division by zero is rejected. answer found on Brainly by mohamedeshna747

In mathematics, an expression is a finite combination of symbols that are well-formed according to the rules applicable in the context...

The question has no sensible answer because its proposition is not true. Multiplication is commutative, division is not, so the rules are NOT the same.

A positive and a negative give you a negative. Two negatives give you a positive. This is true for multiplication and division.

Here are some rules that can help you simplify such expressions, in some cases. (ab)c=abc abac = ab+c ab/ac = ab-c

They both changed the rules of poetry

Because it is.