Answer: Some of the possible factorizations of the monomial given are: [tex](16x^5)(3x^5)[/tex] [tex](48x)(x^9)\\\\(4x^5)(12x^5)\\\\(16x^2)(3x^8)\\\\(2x^2)(4x^7)(6x)[/tex]Step-by-step explanation: To factorize the monomia you need to express it as a product of two or more monomials. Therefore, you must apply the proccedure shown below: - Descompose into prime numbers: [tex]48x^{10}=2*2*2*2*3*x*x*x*x*x*x*x*x*x*x[/tex] - Then, keeping on mind that, according to the Product of powers property, when you have two powers with equal base you must add the exponents, you can make several factorizations. Below are shown some of the possible factorizations of the monomial given: [tex](2^4x^5)(3x^5)[/tex] [tex](48x)(x^9)\\\\(4x^5)(12x^5)\\\\(16x^2)(3x^8)\\\\(2x^2)(4x^7)(6x)[/tex]