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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.

Answer and Explanation:


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}.


Learn more about this topic:

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Teaching Math: Methods & Strategies

from Educational Psychology: Homework Help Resource

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