Chapter 5 Review: Rational Exponents Jeopardy Template

5.1, Ex 1: Finding nth Roots

5.1, Ex 2: Eval. Express.

5.1, Ex 4: Solve Eq.

5.2, Ex 1: Expo. Props

5.2, Ex 2: Radical Props

100

Find the indicated real nth root of a.

n = 3, a = 8

The root is 2, because 2³ = 8.

100

Evaluate the expression:

64 ^1/6

64 ^1/6= 2, because 2⁶ = 64

200

Find the indicated real nth root of a.

n = 5, a = -1

The root is -1, because (-1)⁵ = -1.

200

Evaluate the expression:

25 ^3/2

25 ^3/2= 125, because (25 ^1/2)³= 5³ = 125

300

Find the indicated real nth root of a.

n = 2, a = 0

The root is 0, because 0² = 0.

300

Evaluate the expression:

(-243)^1/5

(-243)^1/5 = -3

400

Find the indicated real nth root of a.

n = 4, a = 256

The root is 4, because 4⁴ = 256

400

Evaluate the expression:

8^-2/3

8^-2/3 = 2^-2= 1/4

500

Find the indicated real nth root of a.

n = 6, a = -729

There is no real root, because all negatives and positives raised to an even power yield a positive

500

Evaluate the expression:

16^-7/4

16^-7/4 = 2^-7= 1/128