5.1 nth Roots and Rational Exponents

5.1 nth Roots and Rational Exponents

Fill in the Blanks

Evaluate: $2^3$

Multiple Choice

Evaluate: $$2^{-3}$$

• 8
• $$\frac{1}{6}$$

• $$\frac{1}{8}$$

• $$\frac{1}{-6}$$

Fill in the Blanks

Evaluate: $-27^{\frac{1}{3}}$

Fill in the Blanks

Evaluate: $4^{\frac{3}{2}}$

Fill in the Blanks

Evaluate: $\sqrt[3]{216}$

Fill in the Blanks

Evaluate: $81^{\frac{1}{4}}$

Fill in the Blanks

Evaluate: $\sqrt[6]{64}$

Fill in the Blanks

Evaluate: $\sqrt[]{49}$

Multiple Choice

Find the indicated nth root(s) of a: n = 3; a = -216

• 7

• 6

• -6

• 7

Multiple Select

Find the indicated nth root(s) of a: n = 4; a = 81

• 3

• -3

• 4

• -4

Multiple Choice

Find the indicated nth root(s) of a: n = 4; a = 16

• +4 and -4

• +2 and -2

• Only 4

• Only 2

Multiple Choice

Find the indicated nth root(s) of a: n = 5; a = 243

• +4 and -4

• only -3

• +3 and -3

• Only 3

Fill in the Blanks

Evaluate: $4^{\frac{5}{2}}$

Multiple Choice

Evaluate: $$32^{-\frac{3}{5}}$$

• 8

• -8

• $$\frac{1}{8}$$

• $$-\frac{1}{8}$$

Fill in the Blanks

Evaluate: $81^{\frac{3}{4}}$

Fill in the Blanks

Evaluate: $1^{\frac{7}{8}}$

Multiple Choice

Evaluate: $$9^{-\frac{1}{2}}$$

• $$\frac{1}{3}$$

• 1

• 3

• -3