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Popular >

simplify (2i)^6

Solution

simplify

(2 i)^{6}

Solution

- 64

Solution steps

(2 i)^{6}

Apply exponent rule:

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

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

= 2^{6} i^{6}

2^{6} = 64

= 64 i^{6}

Apply exponent rule:

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

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

= 64 (i^{2})^{3}

Apply imaginary number rule:

i^{2} = - 1

= 64 (- 1)^{3}

(- 1)^{3} = - 1

= 64 (- 1)

Multiply the numbers:

64 (- 1) = - 64

= - 64

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Frequently Asked Questions (FAQ)

What is (2i)^6 ?
The solution to (2i)^6 is -64