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Popular >

simplify 4i^{15}*5i^6

Solution

simplify

4 i^{15} \cdot 5 i^{6}

Solution

20 i

Solution steps

4 i^{15} \cdot 5 i^{6}

Multiply the numbers:

4 \cdot 5 = 20

= 20 i^{15} i^{6}

Apply exponent rule:

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

i^{15} i^{6} = i^{15 + 6}

= 20 i^{15 + 6}

Add the numbers:

15 + 6 = 21

= 20 i^{21}

Apply exponent rule:

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

i^{21} = i^{20} i

= 20 i^{20} i

Simplify

i^{20} : (- 1)^{10}

= 20 (- 1)^{10} i

Simplify

(- 1)^{10} i : i

= 20 i

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Frequently Asked Questions (FAQ)

What is 4i^{15}*5i^6 ?
The solution to 4i^{15}*5i^6 is 20i