All Algebra II Resources
Example Questions
Example Question #73 : Imaginary Numbers
What is the value of , if = ?
We know that . Therefore, . Thus, every exponent of that is a multiple of 4 will yield the value of . This makes . Since , we know that .
Example Question #2 : Complex Numbers
The answer is not present.
Combine like terms:
Distribute:
Combine like terms:
Example Question #13 : Basic Operations With Complex Numbers
Example Question #5 : Complex Numbers
Rationalize the complex fraction:
To rationalize a complex fraction, multiply numerator and denominator by the conjugate of the denominator.
Example Question #5 : Complex Numbers
Rationalize the complex fraction:
To rationalize a complex fraction, multiply numerator and denominator by the conjugate of the denominator.
Example Question #2031 : Mathematical Relationships And Basic Graphs
Multiply:
Distribute:
combine like terms:
Example Question #3 : Complex Numbers
Multiply:
Use FOIL to multiply the two binomials.
Recall that FOIL stands for Firsts, Outers, Inners, and Lasts.
Remember that
Example Question #2032 : Mathematical Relationships And Basic Graphs
Simplify:
Distribute the minus sign:
Combine like terms:
Example Question #21 : Basic Operations With Complex Numbers
Simplify:
Use FOIL to multiply the binomials:
Change to -1:
Combine like terms:
Example Question #22 : Basic Operations With Complex Numbers
Find
This pattern repeats every four powers. Divide the power by 4:
Since the remainder is 3, it is equivalent to , or .