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Popular >

simplify ((-1+isqrt(3))/2)^3

Solution

simplify

(\frac{- 1 + i 3}{2})^{3}

Solution

1

Solution steps

(\frac{- 1 + i 3}{2})^{3}

Apply exponent rule:

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

= \frac{( - 1 + i 3 ) ^{3}}{2 ^{3}}

2^{3} = 8

= \frac{( - 1 + i 3 ) ^{3}}{8}

Expand

(- 1 + i 3)^{3} : 8

= \frac{8}{8}

Apply the fraction rule:

\frac{a}{a} = 1

= 1

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Frequently Asked Questions (FAQ)

What is ((-1+isqrt(3))/2)^3 ?
The solution to ((-1+isqrt(3))/2)^3 is 1