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Popular >

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

Solution

simplify

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

Solution

\frac{1}{( n + i ) ^{ni}}

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0

= (\frac{1}{n + i})^{in}

Apply exponent rule:

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

= \frac{1 ^{in}}{( n + i ) ^{in}}

Apply rule

1^{a} = 1

1^{ni} = 1

= \frac{1}{( n + i ) ^{ni}}

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Frequently Asked Questions (FAQ)

What is ((1/(n+i))^i)^n ?
The solution to ((1/(n+i))^i)^n is 1/((n+i)^{ni)}