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Popular >

simplify (-4i)^3

Solution

simplify

(- 4 i)^{3}

Solution

64 i

Solution steps

(- 4 i)^{3}

Apply exponent rule:

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

if

n

is odd

(- 4 i)^{3} = - (4 i)^{3}

= - (4 i)^{3}

Apply exponent rule:

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

(4 i)^{3} = 4^{3} i^{3}

= - 4^{3} i^{3}

4^{3} = 64

= - 64 i^{3}

Apply exponent rule:

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

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

= - 64 i^{2} i

Apply imaginary number rule:

i^{2} = - 1

= - 64 (- 1 i)

Apply rule:

1 \cdot a = a

- 1 i = - i

= - 64 (- i)

Apply rule:

- a (- b) = ab

- 64 (- i) = 64 i

= 64 i

Popular Examples

2 > \frac{6 - x}{5}

simplify 3125^{3/5}simplify

312 5^{\frac{3}{5}}

simplify 2(1/2+3/2 i)^2-2(1/2+3/2 i)+5 simplify

2 (\frac{1}{2} + \frac{3}{2} i)^{2} - 2 (\frac{1}{2} + \frac{3}{2} i) + 5

z = 3 (11) + 5 (0)

0.1 a = 0.01 a

Frequently Asked Questions (FAQ)

What is (-4i)^3 ?
The solution to (-4i)^3 is 64i