Answer:
[tex]216^1[/tex]
[tex](2^3)(3^3)[/tex]
[tex](2*2^2)(3*3^2)[/tex]
Step-by-step explanation:
To solve this exercise you must keep on mind that according to the exponents rules:
[tex](a^m)(a^n)=a^{(m+n)}[/tex]
[tex]a^1=a[/tex]
1) Therefore, you can write 216 as:
[tex]216^1[/tex]
Because: [tex]216^1=216[/tex]
2) Descompose the number 216 into its prime factors, then:
[tex]216=2*2*2*3*3*3=(2^3)(3^3)[/tex]
Then you can write the number 216 as [tex](2^3)(3^3)[/tex]
3) You can also write 216 as following:
[tex](2*2^2)(3*3^2)[/tex]
