Simplifying Rational Exponents

Simplify the expression:

 $8^{\frac{2}{3}}$  

• 4

• 256

• 21.33

• 8

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify the expression:

 $1^{\frac{3}{5}}$  

• 3

• 5

• 1

•  $\frac{3}{5}$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify the expression:

 $25^{\frac{3}{2}}$  

• 25

• 125

• 625

• 3125

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify the expression:

 $16^{\frac{5}{4}}$  

• 16

• 3125

• 256

• 32

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify the expression:

 $81^{\frac{1}{4}}+4^{\frac{1}{2}}$  

• 11

• 5

• 13

• 6

Tags

CCSS.HSN.RN.A.2

Simplify the expression:

 $343^{\frac{2}{3}}\cdot32^{\frac{2}{5}}$  

• 196

• 10, 976

• 375

• 53

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify the expression:

 $343^{\frac{1}{3}}\cdot27^{\frac{1}{3}}$  

• 370

• 4

• 10

• 21

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify the expression:

 $10,000^{\frac{1}{2}}\div1000^{\frac{2}{3}}$  

• 100

• 10

• 1

•  $\frac{1}{10}$  

Tags

CCSS.HSN.RN.A.2

Simplify the expression:

 $\left(n^{\frac{2}{3}}\right)^{\frac{3}{2}}$  

•  $n$  

•  $n^{\frac{2}{3}}$  

•  $6n$  

•  $n^{\frac{3}{2}}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSN.RN.A.2

Simplify the expression:

 $25^{-\frac{3}{2}}$  

• 125

• -125

•  $\frac{1}{125}$  

• -5

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2