When a variable is raised to the exponent of 0, the result is always 1, provided the base is not zero. This is based on the mathematical rule that states (a^0 = 1) for any non-zero number (a). Therefore, regardless of the variable or number, if it is in the form (x^0), it equals 1.
When multiplying a variable with an exponent by a variable without an exponent, you add the exponent of the first variable to the exponent of the second variable (which is considered to be 1). For example, if you multiply (x^2) by (x), the result is (x^{2+1} = x^3). This rule applies to variables with the same base.
Yes, you can multiply a variable with an exponent by a variable without an exponent. When you do this, you simply add the exponents of the same base. For example, if you multiply (x^2) by (x), the result is (x^{2+1} = x^3).
In a linear equation, the highest exponent of the variable is 1. This means that the equation can be expressed in the form ( ax + b = 0 ), where ( a ) and ( b ) are constants, and ( x ) is the variable. The linearity indicates a constant rate of change, resulting in a straight line when graphed.
multiply
That is the correct spelling of "exponent" (an advocate, or the numerical power to which a number or variable is raised)
When multiplying a variable with an exponent by a variable without an exponent, you add the exponent of the first variable to the exponent of the second variable (which is considered to be 1). For example, if you multiply (x^2) by (x), the result is (x^{2+1} = x^3). This rule applies to variables with the same base.
Yes, you can multiply a variable with an exponent by a variable without an exponent. When you do this, you simply add the exponents of the same base. For example, if you multiply (x^2) by (x), the result is (x^{2+1} = x^3).
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.
the variable's exponent
No. An expression can have a variable exponent (for instance, 2 to the power x, or x to the power y), but that is no longer a polynomial.
Whenever you see a variable (letter) without any exponent, it's exponent is 1.
In a linear equation, the highest exponent of the variable is 1. This means that the equation can be expressed in the form ( ax + b = 0 ), where ( a ) and ( b ) are constants, and ( x ) is the variable. The linearity indicates a constant rate of change, resulting in a straight line when graphed.
multiply
For a term with one variable, the degree is the variable's exponent. With more than one variable, the degree is the sum of the exponents of the variables. This means a linear term has degree 1 and a constant has degree 0.
Yes.
That is the correct spelling of "exponent" (an advocate, or the numerical power to which a number or variable is raised)
An example of an equation with one variable that has an exponent of 2 is ( x^2 - 5x + 6 = 0 ). This quadratic equation can be factored into ( (x - 2)(x - 3) = 0 ), giving the solutions ( x = 2 ) and ( x = 3 ). Quadratic equations like this one typically represent parabolic graphs.