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Popular >

simplify (sqrt(-16))^2

Solution

simplify

(- 16)^{2}

Solution

- 16

Solution steps

(- 16)^{2}

- 16 = 4 i

= (4 i)^{2}

Apply exponent rule:

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

(4 i)^{2} = 4^{2} i^{2}

= 4^{2} i^{2}

4^{2} = 16

= 16 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 16 (- 1)

Multiply the numbers:

16 (- 1) = - 16

= - 16

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Frequently Asked Questions (FAQ)

What is (sqrt(-16))^2 ?
The solution to (sqrt(-16))^2 is -16