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Popular >

simplify (sqrt(-11))^3

Solution

simplify

(- 11)^{3}

Solution

- 1111 i

Solution steps

(- 11)^{3}

- 11 = 11 i

= (11 i)^{3}

Apply exponent rule:

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

(11 i)^{3} = (11)^{3} i^{3}

= (11)^{3} i^{3}

(11)^{3} = 1111

= 1111 i^{3}

Simplify

i^{3} : - i

= 1111 (- i)

Apply rule:

a (- b) = - ab

1111 (- i) = - 1111 i

= - 1111 i

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Frequently Asked Questions (FAQ)

What is (sqrt(-11))^3 ?
The solution to (sqrt(-11))^3 is -11sqrt(11)i