What is sqrt(-60)*sqrt(4)*8i*(7i)^3 ?

The solution to sqrt(-60)*sqrt(4)*8i*(7i)^3 is 10976sqrt(15)i

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simplify sqrt(-60)sqrt(4)8i*(7i)^3

simplify

- 60 \cdot 4 \cdot 8 i \cdot (7 i)^{3}

1097615 i

Solution steps

- 60 4 \cdot 8 i (7 i)^{3}

4 = 2

= - 60 \cdot 2 \cdot 8 i (7 i)^{3}

- 60 = 2 - 15

= 2 - 15 \cdot 2 \cdot 8 i (7 i)^{3}

Multiply the numbers:

2 \cdot 2 \cdot 8 = 32

= 32 - 15 i (7 i)^{3}

= 32 (7 i)^{3} - 15 i

Simplify

(7 i)^{3} : - 343 i

= 32 (- 343 i) - 15 i

- 15 = 15 i

= 32 (- 343 i) 15 ii

Apply rule:

a (- b) = - ab

32 (- 343 i) = - 32 \cdot 343 i

= - 32 \cdot 343 i 15 ii

Multiply the numbers:

- 32 \cdot 343 = - 10976

= - 10976 i 15 ii

Apply exponent rule:

aaa = a^{3}

iii = i^{3}

= - 10976 i^{3} 15

= - 1097615 i^{3}

Simplify

i^{3} : - i

= - 1097615 (- i)

Apply rule:

- a (- b) = ab

- 1097615 (- i) = 1097615 i

= 1097615 i

\frac{x - 2}{x - 4} \leq 3

\frac{15 π}{180}

\frac{1 - 2 x}{15} = \frac{1}{5} - \frac{2 x - 3}{2}

12 g = 12 (\frac{2}{3} g - 1) + 11

- 0.06 m = 7.2

What is sqrt(-60)*sqrt(4)*8i*(7i)^3 ?
The solution to sqrt(-60)*sqrt(4)*8i*(7i)^3 is 10976sqrt(15)i