Find 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

Match the equivalent expression, ( ³ √ 5 ) ⁴

• 5^4/3

• −5^1/4

• 5^3/4

• 5^−1/4

Match the equivalent expression, 1 /(⁴ √ 5 )

• 5^4/3

• −5^1/4

• 5^3/4

• 5^−1/4

Match the equivalent expression, − ⁴ √ 5

• 5^4/3

• −5^1/4

• 5^3/4

• 5^−1/4

Match the equivalent expression, ( ⁴ √ 5 ) ³

• 5^4/3

• −5^1/4

• 5^3/4

• 5^−1/4

Write as a radical expression
y^2/3

• 2y³
• √y³
• ∛y²
• 3y²

Write as a radical expression
y^1/3

• ∛y
• y³
• √y
• 1∕ 3y