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Popular >

simplify (3i)^6

Solution

simplify

(3 i)^{6}

Solution

- 729

Solution steps

(3 i)^{6}

Apply exponent rule:

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

(3 i)^{6} = 3^{6} i^{6}

= 3^{6} i^{6}

3^{6} = 729

= 729 i^{6}

Apply exponent rule:

a^{b c} = (a^{b})^{c}

i^{6} = (i^{2})^{3}

= 729 (i^{2})^{3}

Apply imaginary number rule:

i^{2} = - 1

= 729 (- 1)^{3}

(- 1)^{3} = - 1

= 729 (- 1)

Multiply the numbers:

729 (- 1) = - 729

= - 729

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Frequently Asked Questions (FAQ)

What is (3i)^6 ?
The solution to (3i)^6 is -729