What is i^n*i^{n+1}*i^{n+2}*i^{n+3} ?

The solution to i^n*i^{n+1}*i^{n+2}*i^{n+3} is i^{4n+6}

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simplify i^ni^{n+1}i^{n+2}*i^{n+3}

simplify

i^{n} \cdot i^{n + 1} \cdot i^{n + 2} \cdot i^{n + 3}

i^{4 n + 6}

Solution steps

i^{n} i^{n + 1} i^{n + 2} i^{n + 3}

Apply exponent rule:

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

i^{n} i^{n + 1} i^{n + 2} i^{n + 3} = i^{n + n + 1 + n + 2 + n + 3}

= i^{n + n + 1 + n + 2 + n + 3}

Simplify

n + n + 1 + n + 2 + n + 3 : 4 n + 6

= i^{4 n + 6}

(a^{2} + b^{2})^{2} - 4 a^{2} \cdot b^{v}

\frac{1}{2 \cdot 1 - ( \frac{n}{2} ) ^{2}}

(2 x^{5} - 3 x - 1) + (3 x^{4} - 2 x + 2)

(\frac{3}{2 + 3 y})^{2}

(b) x^{2} - 2 x + 1

What is i^n*i^{n+1}*i^{n+2}*i^{n+3} ?
The solution to i^n*i^{n+1}*i^{n+2}*i^{n+3} is i^{4n+6}