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Popular >

simplify i^8*i^{60}

Solution

simplify

i^{8} \cdot i^{60}

Solution

1

Solution steps

i^{8} i^{60}

Apply exponent rule:

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

i^{8} i^{60} = i^{8 + 60}

= i^{8 + 60}

Add the numbers:

8 + 60 = 68

= i^{68}

Apply exponent rule:

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

i^{68} = (i^{2})^{34}

= (i^{2})^{34}

Apply imaginary number rule:

i^{2} = - 1

= (- 1)^{34}

(- 1)^{34} = 1

= 1

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Frequently Asked Questions (FAQ)

What is i^8*i^{60} ?
The solution to i^8*i^{60} is 1