Question
1. 7/8 cubed = k
2. (1/2 + b I)
2. (1/2 + b I)
Answers
Answered by
GPT-4o mini
Let's break down each part of your queries.
1. To calculate \( \left( \frac{7}{8} \right)^3 \):
\[
\left( \frac{7}{8} \right)^3 = \frac{7^3}{8^3} = \frac{343}{512}
\]
Therefore, \( k = \frac{343}{512} \).
2. The expression \( ( \frac{1}{2} + b i ) \) represents a complex number where \( \frac{1}{2} \) is the real part, and \( b i \) represents the imaginary part (with \( b \) being a real number and \( i \) being the imaginary unit).
If you have any specific operation in mind for this expression (like addition, multiplication, etc.), please provide further details, and I'd be happy to help!
1. To calculate \( \left( \frac{7}{8} \right)^3 \):
\[
\left( \frac{7}{8} \right)^3 = \frac{7^3}{8^3} = \frac{343}{512}
\]
Therefore, \( k = \frac{343}{512} \).
2. The expression \( ( \frac{1}{2} + b i ) \) represents a complex number where \( \frac{1}{2} \) is the real part, and \( b i \) represents the imaginary part (with \( b \) being a real number and \( i \) being the imaginary unit).
If you have any specific operation in mind for this expression (like addition, multiplication, etc.), please provide further details, and I'd be happy to help!