It is in the simplest form when all exponents are positive.
algebraic expression like terms
14.3
Polynomials are the simplest class of mathematical expressions. The expression is constructed from variables and constants, using only the operations of addition, subtraction, multiplication and non-negative integer exponents.
This expression can not be factored. It is already in it's simplest state.
In the equation 10 + x, the variable x represents an unknown quantity or number. The sum of 10 and x cannot be simplified further without knowing the specific value of x. Therefore, the expression 10 + x is an algebraic expression that represents the result of adding 10 to an unknown quantity x.
algebraic expression like terms
14.3
The simplest exponential form refers to expressing a number or an algebraic expression as a power of a base. For example, the number 8 can be represented in simplest exponential form as (2^3) because (2) multiplied by itself three times equals (8). Similarly, an expression like (x^2 \cdot x^3) can be simplified to (x^{2+3} = x^5). The goal is to present the expression in the most concise and clear manner using exponents.
you can add your integers as addition and round them to simplest form.
When you have done all the multiplication and added all the like term possible.
An algebraic expression that has no like terms and no parentheses is in its simplest form or standard form. In this context, each term in the expression is unique, and they cannot be combined further. For example, (3x + 4y - 5) is in this form, as each term is distinct.
An algebraic expression is in simplest form when it cannot be simplified further, meaning there are no like terms to combine or common factors to factor out. Additionally, it should not contain any unnecessary parentheses or complex fractions. If the expression is a fraction, it should also be reduced to its lowest terms, where the numerator and denominator have no common factors other than 1.
You will know because there are no other numbers that can go into both the numerator and denominator.
to make all the powers a standard number instead of them having a exponent.
An algebraic expression that contains no like terms and no parentheses is in its simplest form. This means that each term is unique and cannot be combined with any other term due to differing variables or coefficients. Such an expression is typically represented as a sum of distinct terms, such as (3x + 2y - 7).
It means to rewrite the expression so that it is in its simplest form. You can do this by combining like terms. For example: The equation 2x + 3x = 5 can be simplified to 5x = 5 by combining the "x's".
To simplify the expression ( 14ab^3 + 7a^{-2}b^{-1} ), we can express it with positive exponents. The term ( 7a^{-2}b^{-1} ) can be rewritten as ( \frac{7}{a^2b} ). So the expression becomes ( 14ab^3 + \frac{7}{a^2b} ). Since these two terms do not have a common factor, this is the simplest form of the expression.