is 4x to the 3rd power a monomial?

Yes. Monomials have one term like 4xcubed. A binomial would be something like 4xcubed - 3ysquared.

To determine if 4x to the 3rd power is a monomial, let's first understand what a monomial is.

A monomial is a single term consisting of a constant multiplied by one or more variables raised to a non-negative whole number exponent.

In the case of 4x to the 3rd power, we have the constant 4 multiplied by the variable x raised to the exponent 3. Since it satisfies the criteria of a monomial, we can conclude that 4x to the 3rd power is indeed a monomial.