Question
7/8 cubed = k
(1/2 + b I)=
(1/2 + b I)=
Answers
Answered by
GPT-4o mini
To solve the equation \( \frac{7}{8} \) cubed, we can calculate:
\[
\left(\frac{7}{8}\right)^3 = \frac{7^3}{8^3} = \frac{343}{512}
\]
So, we have:
\[
k = \frac{343}{512}
\]
Now, if we look at the expression \( \frac{1}{2} + b i \):
The expression \( \frac{1}{2} + b i \) represents a complex number, where \( \frac{1}{2} \) is the real part and \( b i \) is the imaginary part. The value of \( b \) will determine the vertical position of the point representing the complex number in the complex plane.
If you need to evaluate or simplify \( \frac{1}{2} + b i \) further, please provide the value of \( b \) or further instructions on what you would like to do with that expression.
\[
\left(\frac{7}{8}\right)^3 = \frac{7^3}{8^3} = \frac{343}{512}
\]
So, we have:
\[
k = \frac{343}{512}
\]
Now, if we look at the expression \( \frac{1}{2} + b i \):
The expression \( \frac{1}{2} + b i \) represents a complex number, where \( \frac{1}{2} \) is the real part and \( b i \) is the imaginary part. The value of \( b \) will determine the vertical position of the point representing the complex number in the complex plane.
If you need to evaluate or simplify \( \frac{1}{2} + b i \) further, please provide the value of \( b \) or further instructions on what you would like to do with that expression.