Question

What is the value of 53i 9?

Answer 1

answer is 125i

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Answer 2

Answer:

The value of the expression is $5^3i^9=125i$

Step-by-step explanation:

Given : Expression $5^3i^9$

To find : What is the value of the expression ?

Solution :

Expression $5^3i^9$

$5^3=5\times 5\times 5=125$

$5^3=125$

We know, $i^2=-1$

$i^4=1$

$i^9=i^4\times i^4\times i$

$i^9=1\times1\times i$

$i^9=i$

Substitute in the expression,

$5^3i^9=125\times i$

$5^3i^9=125i$

Therefore, The value of the expression is $5^3i^9=125i$