# What is the value of the product (2i)(3i)?

## Question:

What is the value of the product (2i)(3i)?

## Product of two numbers:

The product of two numbers can be determined as the result of multiplication of two numbers. The product of two numbers represents by the cross symbol {eq}\times {/eq}. One example of two numbers is {eq}3 \times 2 = 6 {/eq}. Here the result of multiplication of 3 and 2 is 6.

The given expression is,

{eq}P = \left( {2i} \right)\left( {3i} \right) {/eq}

Product of two numbers and use the properties of imaginary numbers.

{eq}\begin{align*} P &= 6{i^2}\\ &= 6\left( { - 1} \right)\\ &= - 6 \end{align*} {/eq}

Thus, the value for P is {eq}- 6 {/eq}.