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Popular >

simplify (-9i)^2

Solution

simplify

(- 9 i)^{2}

Solution

- 81

Solution steps

(- 9 i)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- 9 i)^{2} = (9 i)^{2}

= (9 i)^{2}

Apply exponent rule:

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

(9 i)^{2} = 9^{2} i^{2}

= 9^{2} i^{2}

9^{2} = 81

= 81 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 81 (- 1)

Multiply the numbers:

81 (- 1) = - 81

= - 81

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Frequently Asked Questions (FAQ)

What is (-9i)^2 ?
The solution to (-9i)^2 is -81