Nth Roots and Rational Exponents

Find the indicated real n^th root(s) of a. n = 6, a = −729

• 3

• -3

• ±3

• no real roots

Find the indicated real n^th root(s) of a. n = 5 , a = -243

• 3

• -3

• ±3

• no real roots

Find the indicated real n^th root(s) of a. n = 4, a = 256

• -4

• 4

• ±4

• no real roots

Find the indicated real n^th root(s) of a.

n = 3, a = 8

• ±2

• 2

• -2

• no real roots

Find the indicated nth root.

• -3

• 3

• No Real Solutions

• 4

• A

• B

• C

• D

Find the indicated nth root.

• 6

• -6

• No Real Solutions

• Infinite Solutions

Write with a rational exponent.

• 7³

• 7

• 7^3/4

• 7^4/3

Simplify the following:

• A

• B

• C

• D