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Popular >

simplify (6i)^3

Solution

simplify

(6 i)^{3}

Solution

- 216 i

Solution steps

(6 i)^{3}

Apply exponent rule:

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

(6 i)^{3} = 6^{3} i^{3}

= 6^{3} i^{3}

6^{3} = 216

= 216 i^{3}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

i^{3} = i^{2} i

= 216 i^{2} i

Apply imaginary number rule:

i^{2} = - 1

= 216 (- 1 i)

Apply rule:

1 \cdot a = a

- 1 i = - i

= 216 (- i)

Apply rule:

a (- b) = - ab

216 (- i) = - 216 i

= - 216 i

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simplify (1+(0.15)/(365))^{365}-1 simplify

(1 + \frac{0.15}{365})^{365} - 1

- 4 x^{2} - 12 x = 0

Frequently Asked Questions (FAQ)

What is (6i)^3 ?
The solution to (6i)^3 is -216i