To multiply these two complex numbers, we need to first represent them in the form a + bi where a is the real part and bi is the imaginary part.
For (-3, 4+7): Real part = -3 Imaginary part = 4+7 = 11
Therefore, (-3, 4+7) can be written as -3 + 11i.
Now, for the second complex number (-1 7/18): Real part = -1 Imaginary part = 7/18
Therefore, (-1 7/18) can be written as -1 + 7/18 i.
To multiply these two complex numbers: (-3 + 11i) * (-1 + 7/18 i)
Using the distribution property of multiplication over addition, we get: = -3*(-1) + 11i*(-1) -3*(7/18 i) + (11i)*(7/18 i) = 3 - 11i - 7/6 i + 77/18 = 3 + (-11 - 7/6)i + 77/18 = 3 - (77/6 + 7/6)i + 77/18 = 3 - 84/6 i + 77/18 = 3 - 14i + 77/18
Therefore, the product of (-3, 4+7) and (-1 7/18) is 3 - 14i + 77/18.
