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Popular >

simplify i^5*i^{12}

Solution

simplify

i^{5} \cdot i^{12}

Solution

i

Solution steps

i^{5} i^{12}

Apply exponent rule:

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

i^{5} i^{12} = i^{5 + 12}

= i^{5 + 12}

Add the numbers:

5 + 12 = 17

= i^{17}

Apply exponent rule:

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

i^{17} = i^{16} i

= i^{16} i

Simplify

i^{16} : (- 1)^{8}

= (- 1)^{8} i

Simplify

(- 1)^{8} i : i

= i

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Frequently Asked Questions (FAQ)

What is i^5*i^{12} ?
The solution to i^5*i^{12} is i