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Popular >

simplify i^7*i^{17}

Solution

simplify

i^{7} \cdot i^{17}

Solution

1

Solution steps

i^{7} i^{17}

Apply exponent rule:

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

i^{7} i^{17} = i^{7 + 17}

= i^{7 + 17}

Add the numbers:

7 + 17 = 24

= i^{24}

Apply exponent rule:

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

i^{24} = (i^{2})^{12}

= (i^{2})^{12}

Apply imaginary number rule:

i^{2} = - 1

= (- 1)^{12}

(- 1)^{12} = 1

= 1

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Frequently Asked Questions (FAQ)

What is i^7*i^{17} ?
The solution to i^7*i^{17} is 1