$\"\"$

Consider the expression is i⁶.

= (i²)³ (Rewrite the expression in terms of i²)

= ( $\"\"$ )³ (Substitute the imaginary unit value $\"\"$ )

i⁶ = $\"\"$ (Evaluate power: $\"\"$ ) $\"\"$

Consider another expression is i⁷.

$\"\"$ (Factor the exponent)

$\"\"$ (From the earlier result) $\"\"$

Consider another expression is i⁸

$\"\"$ (Rewrite the expression in terms of i²)

$\"\"$ (Substitute the imaginary unit value i² = -1)

$\"\"$ (Evaluate power: $\"\"$ ) $\"\"$

The values of i⁶ = $\"\"$ , i⁷= $\"\"$ , $\"\"$ .