Answer:
Given statement is true.
Step-by-step explanation:
Given statement is [tex]i^3=(i^2)i[/tex] .
We have to test if the given statement [tex]i^3=(i^2)i[/tex] is true or false.
So let's start from the left side.
[tex]LHS =i^3[/tex]
[tex]i^3=i^{2+1}[/tex]
[tex]i^3=(i^2)(i^1)[/tex] {using law of exponent [tex]x^{m+n}=(x^m)(x^n)[/tex] }
[tex]i^3=(i^2)i[/tex]
Which is same as the right side of give statement.
Hence given statement is true.
