Exploring Operations with Imaginary and Complex Numbers

What is the value of i to the fourth power?

• i

• -1

• -i

• 1

Tags

CCSS.HSN.CN.A.2

How do you simplify i to the 14th power?

• Divide 14 by 4 and use the remainder

• Multiply 14 by 4 and use the product

• Subtract 4 from 14 until you get a number less than 4

• Add 4 to 14 and use the sum

Tags

CCSS.HSN.CN.A.2

What is the result of i to the 12th power?

• 1

• -1

• i

• -i

Tags

CCSS.HSN.CN.A.2

How do you handle a negative exponent with imaginary numbers?

• Add 1 to the exponent

• Multiply by -1

• Leave it as is

• Convert it to a positive exponent by moving the base to the denominator

What is the standard form of a complex number?

• i + a

• bi + a

• a - bi

• a + bi

Tags

CCSS.HSN.CN.A.1

How do you simplify the square root of -64?

• 8i

• -8i

• 64i

• -64i

What is the result of adding (4 + 2i) and (3 - i)?

• 7 + i

• 1 + i

• 1 + 4i

• 7 + 4i

Tags

CCSS.HSN.CN.A.2

How do you multiply (3 + 5i) and (4 - 2i)?

• 22 + 10i

• 12 + 10i

• 12 + 14i

• 22 + 14i

Tags

CCSS.HSN.CN.A.2

What is the conjugate of (5 + 2i)?

• 5 + 2i

• 5 - 2i

• -5 - 2i

• -5 + 2i

Tags

CCSS.HSN.CN.A.3

How do you rationalize the denominator of (1 + i) / i?

• Multiply by -i / i

• Multiply by i

• Multiply by -i

• Multiply by i / i

Tags

CCSS.HSN.CN.A.3