Simplify . Your answer should contain only positive exponents. 4 v 2 3 ⋅ v − 1 4v^{\frac{2}{3}}\cdot v^{-1} 4 v 3 2 ⋅ v − 1

4 v 1 3 \frac{4}{v^{\frac{1}{3}}} v 3 1 4

4 v 1 3 4v^{\frac{1}{3}} 4 v 3 1

v 1 3 4 \frac{v^{\frac{1}{3}}}{4} 4 v 3 1

1 4 v 1 3 \frac{1}{4v^{\frac{1}{3}}} 4 v 3 1 1

Simplify . Your answer should contain only positive exponents. ( a 1 2 b 1 2 ) − 1 \left(a^{\frac{1}{2}}b^{\frac{1}{2}}\right)^{-1} ( a 2 1 b 2 1 ) − 1

1 a 1 2 b 1 2 \frac{1}{a^{\frac{1}{2}}b^{\frac{1}{2}}} a 2 1 b 2 1 1

a 1 2 b 1 2 a^{\frac{1}{2}}b^{\frac{1}{2}} a 2 1 b 2 1

− 1 a 1 2 b 1 2 -\frac{1}{a^{\frac{1}{2}}b^{\frac{1}{2}}} − a 2 1 b 2 1 1

− a 1 2 b 1 2 -a^{\frac{1}{2}}b^{\frac{1}{2}} − a 2 1 b 2 1

Simplify . Your answer should contain only positive exponents. 2 x 1 2 y 1 3 2 x 4 3 y − 7 4 \frac{2x^{\frac{1}{2}}y^{\frac{1}{3}}}{2x^{\frac{4}{3}}y^{-\frac{7}{4}}} 2 x 3 4 y − 4 7 2 x 2 1 y 3 1

y 25 12 x 5 6 \frac{y^{\frac{25}{12}}}{x^{\frac{5}{6}}} x 6 5 y 1 2 2 5

x 5 6 y 25 12 \frac{x^{\frac{5}{6}}}{y^{\frac{25}{12}}} y 1 2 2 5 x 6 5

2 y 25 12 x 5 6 \frac{2y^{\frac{25}{12}}}{x^{\frac{5}{6}}} x 6 5 2 y 1 2 2 5

y 17 12 x 5 6 \frac{y^{\frac{17}{12}}}{x^{\frac{5}{6}}} x 6 5 y 1 2 1 7

Simplify . Your answer should contain only positive exponents. y x 1 3 ⋅ x y 3 2 yx^{\frac{1}{3}}\cdot xy^{\frac{3}{2}} y x 3 1 ⋅ x y 2 3

x 4 3 y 5 2 x^{\frac{4}{3}}y^{\frac{5}{2}} x 3 4 y 2 5

x 2 3 y 1 2 x^{\frac{2}{3}}y^{\frac{1}{2}} x 3 2 y 2 1

x 1 3 y 3 2 x^{\frac{1}{3}}y^{\frac{3}{2}} x 3 1 y 2 3

x 2 3 y 4 3 x^{\frac{2}{3}}y^{\frac{4}{3}} x 3 2 y 3 4

Combine: 50 0 1 3 + 137 2 1 3 500^{\frac{1}{3}}+1372^{\frac{1}{3}} 5 0 0 3 1 + 1 3 7 2 3 1

12 ( 4 1 3 ) 12\left(4^{\frac{1}{3}}\right) 1 2 ( 4 3 1 )

187 2 1 3 1872^{\frac{1}{3}} 1 8 7 2 3 1

187 2 2 3 1872^{\frac{2}{3}} 1 8 7 2 3 2

12 ( 8 1 3 ) 12\left(8^{\frac{1}{3}}\right) 1 2 ( 8 3 1 )

Combine: 4 ( 3 1 6 ) − 2 ( 19 2 1 6 ) 4\left(3^{\frac{1}{6}}\right)-2\left(192^{\frac{1}{6}}\right) 4 ( 3 6 1 ) − 2 ( 1 9 2 6 1 )

2 ( − 189 ) 1 6 2\left(-189\right)^{\frac{1}{6}} 2 ( − 1 8 9 ) 6 1

− 12 4 1 6 -124^{\frac{1}{6}} − 1 2 4 6 1

− 4 ( 3 1 6 ) -4\left(3^{\frac{1}{6}}\right) − 4 ( 3 6 1 )

Algebra 2B Rational exponents & Radicals

Authored by Ashley Porter

Mathematics

10th - 11th Grade

CCSS covered

Used 9+ times

Algebra 2B Rational exponents & Radicals

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write in exponential form
∛x⁷

x⁷∕ ³

x3⁄7

3x⁷

7x³

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write as a radical expression
y²⁄ ³

2y³

√y³

∛y²

3y²

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify the following expression:

Tags

CCSS.HSN.RN.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify:

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

125^2/3

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Rewrite & evaluate: 4^5/2

Tags

CCSS.HSN.RN.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify:

8x⁹

8x³

8x⁴√x

8x³√x

Tags

CCSS.HSN.RN.A.2

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify . Your answer should contain only positive exponents. $4v^{\frac{2}{3}}\cdot v^{-1}$

$4v^{\frac{1}{3}}$

$\frac{4}{v^{\frac{1}{3}}}$

$\frac{v^{\frac{1}{3}}}{4}$

$\frac{1}{4v^{\frac{1}{3}}}$

Tags

CCSS.HSA.APR.A.1

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Algebra 2B Rational exponents & Radicals

Write in exponential form ∛x⁷

Write as a radical expressiony²⁄ ³

Simplify the following expression:

Simplify:

1252/3

Rewrite & evaluate: 45/2

Simplify:

Simplify: 2√40 - 3√10

Simplify . Your answer should contain only positive exponents. 4v23⋅v−14v^{\frac{2}{3}}\cdot v^{-1}4v32​⋅v−1

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Write in exponential form
∛x⁷

Write as a radical expression
y²⁄ ³

125^2/3

Rewrite & evaluate: 4^5/2

Simplify . Your answer should contain only positive exponents. $4v^{\frac{2}{3}}\cdot v^{-1}$