The Addition Property of Exponents. To multiply powers with the same base, add the exponents. e.g. 34 x 37 = 311, x2x3 = x5, and (3x2yz3)(2x5y2z) = 6x7y3z4.
Yes.
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To use the distributive property, multiply the term outside the parentheses by each term inside the parentheses. For example, in the expression ( a(b + c) ), you would calculate it as ( ab + ac ). This property helps simplify expressions and solve equations by distributing a common factor across terms. It's particularly useful when dealing with addition or subtraction within parentheses.
In many ways. It really depends on the algebraic expression. If several terms are added/subtracted, you can usually combine similar terms (terms that have the same combination of variables). If variables are multiplied, you can combine the same variable, adding the corresponding exponents. Sometimes expressions get simpler if you factor them; sometimes you have to multiply out (in other words, the opposite of factoring). Quite frequently, you have to use a combination of methods to simplify expressions. Take an algebra book, and look at some of the examples.
Order of operation: 1 - Parenthesis and brackets ( ) { } 2 - Exponents and roots n3 √n 3 - Multiplication and division X ÷ 4 - Addition and subtraction + -
Yes.
i don no:(
You multiply 5x5 then 9x1.
In many ways. It really depends on the algebraic expression. If several terms are added/subtracted, you can usually combine similar terms (terms that have the same combination of variables). If variables are multiplied, you can combine the same variable, adding the corresponding exponents. Sometimes expressions get simpler if you factor them; sometimes you have to multiply out (in other words, the opposite of factoring). Quite frequently, you have to use a combination of methods to simplify expressions. Take an algebra book, and look at some of the examples.
No.
use disributive property
An example of how to use the distributive property: If you have 6x(5+4) you multiply 6x by 5 and get 30x. Then you multiply 6x by 4 and get 24x and then you would have 30x+24x which = 54x
When you add or multiply, you can group the numbers together in any combination.
(40+200)+(5+80)
28ab
Order of operation: 1 - Parenthesis and brackets ( ) { } 2 - Exponents and roots n3 √n 3 - Multiplication and division X ÷ 4 - Addition and subtraction + -
You wouldn't. if it was something like 15(X-95) then you could use the distrubutive property but that is just a multiplication problem