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Popular >

simplify (4i)^4

Solution

simplify

(4 i)^{4}

Solution

256

Solution steps

(4 i)^{4}

Apply exponent rule:

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

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

= 4^{4} i^{4}

4^{4} = 256

= 256 i^{4}

Apply exponent rule:

a^{b c} = (a^{b})^{c}

i^{4} = (i^{2})^{2}

= 256 (i^{2})^{2}

Apply imaginary number rule:

i^{2} = - 1

= 256 (- 1)^{2}

(- 1)^{2} = 1

= 256 \cdot 1

Multiply the numbers:

256 \cdot 1 = 256

= 256

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Frequently Asked Questions (FAQ)

What is (4i)^4 ?
The solution to (4i)^4 is 256