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Popular >

simplify ((1+i)^9)/(1+i^9)

Solution

simplify

\frac{( 1 + i ) ^{9}}{1 + i ^{9}}

Solution

16

Solution steps

\frac{( 1 + i ) ^{9}}{1 + i ^{9}}

Simplify

i^{9} : i

= \frac{( 1 + i ) ^{9}}{1 + i}

Apply exponent rule:

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

(1 + i)^{9} = (1 + i) (1 + i)^{8}

= \frac{( 1 + i ) ( 1 + i ) ^{8}}{1 + i}

Cancel the common factor:

1 + i

= (1 + i)^{8}

Expand

(1 + i)^{8} : 16

= 16

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Frequently Asked Questions (FAQ)

What is ((1+i)^9)/(1+i^9) ?
The solution to ((1+i)^9)/(1+i^9) is 16