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An expression that has the same variable raised to the same exponent is x^x. This expression does not have a formal name, however it is worth noting that x^x = e^xlnx.
A polynomial is a math expression that has a sum of terms, each of the terms include a variable or variables multiplied by a coefficient and raised to a power.
multiterm mathematical expression: a mathematical expression consisting of the sum of a number of terms, each of which contains a constant and variables raised to a positive integral power
A variable raised to a power:i.e., X2 is not equal to 2X...you can prove it by substituting a number for X...if you choose X=1, then 12 = 1 & 21 = 2, which are not equal obviously.
When it has any term in which the variable is not raised to a non-nagative integer power. So for example, if it contains a term such as x-3 [the power is not positive] or x1/2 or sqrt(x) [the power is not an integer] or sin(x), or log(x) etc [not powers of x].
An expression that has the same variable raised to the same exponent is x^x. This expression does not have a formal name, however it is worth noting that x^x = e^xlnx.
An exponential equation.
A polynomial is a math expression that has a sum of terms, each of the terms include a variable or variables multiplied by a coefficient and raised to a power.
It is a linear inequality.
An exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression. A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. In the expression 4x^2 (four x squared) the four is the coefficient and the 2 is the exponent.
multiterm mathematical expression: a mathematical expression consisting of the sum of a number of terms, each of which contains a constant and variables raised to a positive integral power
A variable raised to a power:i.e., X2 is not equal to 2X...you can prove it by substituting a number for X...if you choose X=1, then 12 = 1 & 21 = 2, which are not equal obviously.
When it has any term in which the variable is not raised to a non-nagative integer power. So for example, if it contains a term such as x-3 [the power is not positive] or x1/2 or sqrt(x) [the power is not an integer] or sin(x), or log(x) etc [not powers of x].
They are the integer powers of that variable.
The base
base
Like terms have the same variables in common (that are raised to the same power). In this expression, 17 and 42 are like terms (because neither has any sort of variable; they are constants that can be added together) and 5a and 17a are like terms because they have the same variable (a) raised to the same power (a1, which is just written as "a").