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.
Chat with our AI personalities
You add the exponents- x^2*x^6=x^8
Degree of a Polynomial
If the base numbers or variables are the same, you add the exponents.
identical identities
like terms