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Popular >

simplify (2i)^7

Solution

simplify

(2 i)^{7}

Solution

- 128 i

Solution steps

(2 i)^{7}

Apply exponent rule:

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

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

= 2^{7} i^{7}

2^{7} = 128

= 128 i^{7}

Apply exponent rule:

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

i^{7} = i^{6} i

= 128 i^{6} i

Simplify

i^{6} : (- 1)^{3}

= 128 (- 1)^{3} i

Simplify

(- 1)^{3} i : - i

= 128 (- i)

Apply rule:

a (- b) = - ab

128 (- i) = - 128 i

= - 128 i

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Frequently Asked Questions (FAQ)

What is (2i)^7 ?
The solution to (2i)^7 is -128i