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Popular >

simplify (3i)^5

Solution

simplify

(3 i)^{5}

Solution

243 i

Solution steps

(3 i)^{5}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(3 i)^{5} = 3^{5} i^{5}

= 3^{5} i^{5}

3^{5} = 243

= 243 i^{5}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

i^{5} = i^{4} i

= 243 i^{4} i

Simplify

i^{4} : (- 1)^{2}

= 243 (- 1)^{2} i

Simplify

(- 1)^{2} i : i

= 243 i

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Frequently Asked Questions (FAQ)

What is (3i)^5 ?
The solution to (3i)^5 is 243i