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Popular >

simplify sqrt(-49)^2

Solution

simplify

- 49^{2}

Solution

- 49

Solution steps

(- 49)^{2}

- 49 = 7 i

= (7 i)^{2}

Apply exponent rule:

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

(7 i)^{2} = 7^{2} i^{2}

= 7^{2} i^{2}

7^{2} = 49

= 49 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 49 (- 1)

Multiply the numbers:

49 (- 1) = - 49

= - 49

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Frequently Asked Questions (FAQ)

What is sqrt(-49)^2 ?
The solution to sqrt(-49)^2 is -49