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Popular >

simplify (i^7)^6

Solution

simplify

(i^{7})^{6}

Solution

- 1

Solution steps

(i^{7})^{6}

Apply exponent rule:

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

assuming

a \geq 0

= i^{7 \cdot 6}

Multiply the numbers:

7 \cdot 6 = 42

= i^{42}

Apply exponent rule:

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

i^{42} = (i^{2})^{21}

= (i^{2})^{21}

Apply imaginary number rule:

i^{2} = - 1

= (- 1)^{21}

(- 1)^{21} = - 1

= - 1

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Frequently Asked Questions (FAQ)

What is (i^7)^6 ?
The solution to (i^7)^6 is -1