nth Roots and Rational Exponents

Find the indicated nth root(s) of a.

n =3, a = -125

• 5

• -5

• 41.6666

• $\pm5$

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

n = 2, a = 400

• 20

• -20

• $\pm20$

• 200

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

n = 6, a = 64

• 2

• -2

• 10

• $\pm2$

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

 $64^{\frac{1}{2}}$  

Evaluate the expression.

• 4

• 8

• 32

• 128

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

 $\left(-27\right)^{\frac{1}{3}}$  

• -3

• 3

• 9

• -9

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

 $32^{\frac{7}{5}}$  

• 2

• 64

• 128

• 32

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

 $49^{-\frac{3}{2}}$  

• 343

•  $\frac{1}{343}$  

• -73.5

•  $\frac{1}{49}$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

 $\left(-32\right)^{\frac{3}{5}}$  

• 8

• -8

•  $-\frac{96}{5}$  

•  $\frac{96}{5}$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

 $1000^{-\frac{2}{3}}$  

• 100

• -100

•  $\frac{1}{100}$  

•  $-\frac{1}{100}$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

 $81^{\frac{3}{4}}$  

• 27

• -27

• 9

• -9

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2