Find Roots and Rational Exponents

Which expression with a fractional exponent best represents √7 ?

• 7 ^½
• 7¼
• 7⅓
• 2⁷

What is the value of 27^⅓?

• 27
• 9
• 3
• 1/3

4^3/2 = ?

• 6

• 8

• 5.5

Rewrite in radical form.

• A
• B
• C
• D

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Write the expression with exponents

Write in exponential form
∜(3x)³

• 3x³⁄ ⁴
• (3x)³∕ ⁴
• (3x)⁴⁄ ³
• 3x⁴⁄ ³

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

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