simplify (6i)^2

Solution

simplify

(6 i)^{2}

- 36

Solution steps

(6 i)^{2}

Apply exponent rule:

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

(6 i)^{2} = 6^{2} i^{2}

= 6^{2} i^{2}

6^{2} = 36

= 36 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 36 (- 1)

Multiply the numbers:

36 (- 1) = - 36

= - 36

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