Is the multiplicative inverse for 12/13 13/12?

To find the multiplicative inverse of a fraction, simply swap the numerator and denominator. The multiplicative inverse of 12/13 would be 13/12. So, yes, the multiplicative inverse for 12/13 is indeed 13/12.

To determine if 13/12 is the multiplicative inverse of 12/13, we need to multiply the two fractions together and see if the result is 1.

To multiply two fractions, we simply multiply the numerators (top numbers) together to get the new numerator and multiply the denominators (bottom numbers) together to get the new denominator.

In this case:
12/13 * 13/12 = (12 * 13) / (13 * 12) = 156 / 156

Simplifying this expression, we find that 156 divided by 156 equals 1.

Therefore, the product of 12/13 and 13/12 is indeed 1. This means that 13/12 is indeed the multiplicative inverse of 12/13.

3-2i

Yes.

http://www.coolmath.com/prealgebra/06-properties/09-properties-multiplicative-inverse-01.htm