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Can you use the distributive property to help you expand and factor expressions?
Yes.
Which of the two Properties of Exponents require that the base of the exponent be the same in order to use that property?
i don no:(
How can algebraic expressions be simplified?
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.
How do you use order or operations to solve numerical expressions?
Order of operation: 1 - Parenthesis and brackets ( ) { } 2 - Exponents and roots n3 √n 3 - Multiplication and division X ÷ 4 - Addition and subtraction + -
How would you use the distributive property to multiply 15x95?
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
