Respuesta :

Answer:

[tex]x^{n+1}[/tex]

Step-by-step explanation:

using the rule of exponents

• [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

note that x = [tex]x^{1}[/tex], hence

x × [tex]x^{n}[/tex] = [tex]x^{n+1}[/tex]


x^(n+1). When we are multiplying variables with exponents, the rule is that we add the exponents together — for example, if I were to multiply 2^2 and 2^4, I’d get 2^6 (which is 2+4). This works the same:

If we consider that any number is actually itself to the first power so (x is the same as x^1) then if we multiply x^1 * x^n we get x^(n+1).
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