Arithmetic Sequences and Exponents

The video tutorial covers evaluating expressions with fractional exponents, simplifying expressions, using radicals, calculating terms in arithmetic sequences, and identifying equivalent expressions. It explains the rules for fractional exponents, how to simplify expressions using roots, and how to calculate terms in sequences. The tutorial also discusses equivalent expressions for square roots and fractional powers.

What is the cube root of 8?

• 1

• 2

• 3

• 4

How do you express 8 to the 5/3 power using radicals?

• Cube root of 8 to the 5th power

• Square root of 8 to the 5th power

• 5th root of 8 cubed

• 8 to the 5th power

What is the result of 2 raised to the 5th power?

• 128

• 64

• 32

• 16

What is the square root of 64?

• 9

• 6

• 7

• 8

What is 8 cubed?

• 256

• 512

• 1024

• 2048

Which of the following is equal to 64 to the 3/2 power?

• 512

• 96

• 128

• 256

How do you express 17 to the 4/3 power using radicals?

• 17 to the 4th power

• 4th root of 17 cubed

• Cube root of 17 to the 4th power

• Square root of 17 to the 4th power

What is the first term in the arithmetic sequence starting at 413?

• 422

• 431

• 413

• 440

What is the common difference in the arithmetic sequence starting at 413?

• 7

• 8

• 10

• 9

How many times do you add the common difference to find the 5,000th term?

• 5,000

• 5,001

• 4,999

• 4,998