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Can you add unknowns that have coefficients and exponents?
the unknowns must be the same variable and the exponents have to be the same. examples) x4 + y4 cannot be added because they are not the same variable. x3 + x2 cannot be added because they have different exponents. 3y6 + 5y6 can be added because they have the same variable and exponents. (answer: 8y6)
Can monomials have negative exponents?
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.
What is a type of equation with a variable in the radicand?
a square is ab square
How do you find the square root of a variable with an odd numbered exponent?
The same way as you find the square root with an even-numbered exponent. For example, the square root of x10 is x5. That is, divide the exponent by 2. Similarly, the square root of x7 is x3.5. Once again, you simply calculate one-half of the exponent. If you prefer to express this with integer exponents and square roots, in this example you can write x3.5 as x3x0.5. The second part, x0.5, is equivalent to the square root of "x".
What is the definition of a degree of a polynomial?
The degree of a polynomial is the sum of all of the variable exponents. For example 6x^2 + 3x + 2 has a degree of 3 (2 + 1).
When dividing variables with exponents subtract exponents?
Yes. When you divide one variable with an exponent from another, you subtract the exponents
Can you add unknowns that have coefficients and exponents?
the unknowns must be the same variable and the exponents have to be the same. examples) x4 + y4 cannot be added because they are not the same variable. x3 + x2 cannot be added because they have different exponents. 3y6 + 5y6 can be added because they have the same variable and exponents. (answer: 8y6)
What can a monomial fraction NOT have in its denominator?
Variable exponents.
What is the algebraic variable factors with the same exponents?
sori...........
When can you say that the term is a term of polynomials?
If a term consists of one or more of: a numerical coefficientnon-negative integer exponents of variable(s),then it is a term of a polynomial. If a term consists of one or more of: a numerical coefficientnon-negative integer exponents of variable(s),then it is a term of a polynomial. If a term consists of one or more of: a numerical coefficientnon-negative integer exponents of variable(s),then it is a term of a polynomial. If a term consists of one or more of: a numerical coefficientnon-negative integer exponents of variable(s),then it is a term of a polynomial.
Why must the exponents of variables in a linear equation e equal to one?
linearity is defined as the situation when all variable exponents are equal to one
What is a suggested variable for an algebraic expression?
Start with x. Though, if needed, exponents can be added to any variable. But basically, x is advised.
How do you find GCF with variables and exponents?
For each variable, find the smallest exponent in all the expressions. If the variable does not appear in one of the expressions, it's exponent may be taken as 0. Also, remember that if a variable seems to be without an exponent, its exponent is actually 1 (that is x is the same as x1). For example, GCF(a3bc, a2c3, a3b2c3) = a2c. Exponents of a are 3, 2 and 3: smallest = 2 Exponents of b are 1, 0 and 2: smallest = 0 Exponents of c are 1, 3 and 3: smallest = 1 The same rules apply for fractional exponents.
What is exponents square root?
The exponent for a square root is 0.5 or 1/2.
Can monomials have negative exponents?
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.
How do you do order of operations with square roots and exponents?
PEMDAS: parenthesis exponents multiply divide add subtract prentices
What is the definition of dissimilar term in algebra?
dissimilar terms are terms that do not have the same variable or the variable do not contain the same number of exponents
