Question

Rewrite the expression -100 squared using the imaginary number, i.

Answer 1

To rewrite the expression -100 squared using the imaginary number, i, we first find the square of -100, which is 10,000. Then, we rewrite 10,000 using the imaginary number i, simplifying it to -10,000.

Step-by-step explanation:

To rewrite the expression -100 squared using the imaginary number, i, we first need to find the square of -100. The square of a number is obtained by multiplying the number by itself. So, (-100) squared is (-100) x (-100) which equals 10,000. Now, let's rewrite 10,000 using the imaginary number, i. Since the imaginary unit i is defined as the square root of -1, we can rewrite 10,000 as 10,000 x (i x i). The square of i is -1, so we can further simplify it to 10,000 x (-1) = -10,000.