What is expand (i^3)(1)(i) ?

The solution to expand (i^3)(1)(i) is 1

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expand (i^3)(1)(i)

expand

(i^{3}) (1) (i)

1

Solution steps

(i^{3}) (1) (i)

Remove parentheses:

(a) = a

= i^{3} \cdot 1 i

Apply exponent rule:

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

i^{3} i = i^{3 + 1}

= 1 \cdot i^{3 + 1}

Add the numbers:

3 + 1 = 4

= 1 \cdot i^{4}

Multiply:

1 \cdot i^{4} = i^{4}

= i^{4}

Apply exponent rule:

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

i^{4} = (i^{2})^{2}

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

Apply imaginary number rule:

i^{2} = - 1

= (- 1)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 1)^{2} = 1^{2}

= 1^{2}

1^{2} = 1

= 1

2 e^{x} (x - 1)

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\frac{32 x ^{2} + 288 x + 640}{8 x + 40}

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