Question

(-2i) (8i)
simplify the expression

Answer 1

`(-2i)(8i) = 16`

Step-by-step explanation:

Apply rule:
`(-a) = -a`

`(-2i)=-2i`

`=-2i8i`
Multiply the numbers:
`-2*8=-16`

`=-16ii`
Apply exponent rule:
`aa=a^(2)`

`=-16i^(2)`
Apply imaginary number rule:
`i^(2)=-1`

`=-16(-1)`
Multiply the numbers:
`-16(-1)=16`

`=16`

Hope this helps.

Answer 2

The expression (-2i)(8i) simplifies to 16, as we use the property that the square of the imaginary unit i is -1.

Step-by-step explanation:

To simplify the expression (-2i)(8i), we must remember that 'i' is the imaginary unit, which is defined by the property that i2 = -1. Multiplying -2i by 8i gives us -2 * 8 * i2, which can further be simplified using the property of the imaginary unit.

So, we have -2 * 8 * i2 = -16 * i2 = -16 * (-1) = 16. The negative sign is negated because i2 equals -1. Therefore, the expression simplifies to positive 16.