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Popular >

simplify (sqrt(-13))^2

Solution

simplify

(- 13)^{2}

Solution

- 13

Solution steps

(- 13)^{2}

- 13 = 13 i

= (13 i)^{2}

Apply exponent rule:

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

(13 i)^{2} = (13)^{2} i^{2}

= (13)^{2} i^{2}

(13)^{2} = 13

= 13 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 13 (- 1)

Multiply the numbers:

13 (- 1) = - 13

= - 13

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Frequently Asked Questions (FAQ)

What is (sqrt(-13))^2 ?
The solution to (sqrt(-13))^2 is -13