Question

value of i to the power -27​

Answer 1

Answer:

1/i^27

Step-by-step explanation:

i^-27

It's power is in negative sign so it will be

1/i^27 for making the power positive

Answer 2

$\mathfrak{\large{\underline{\underline{Answer:-}}}}$

$\bold{ {i}^{ - 27} }$

By using, Exponent we can write :-

★ $\bold{{a}^{ - 1} = \frac{1}{a} }$

By using multiplicative inverse :-

It can be written as $\bold{\frac{1}{ {i}^{27} } }$

$\implies$ $\bold{ \frac{1}{ {i}^{3(9)} } }$

We know that ★ $\boxed{\sf{{i}^{3} = 1 }}$

$\implies$ $\bold{\frac{1}{ {1}^{9} } }$

$\implies$ $\bold{ = 1}$

hence, $\ {i}^{ - 3} = 1$