Properties of Rational Exponents

Rewrite the following with a rational exponent

• $x^{\frac{9}{4}}$

• $x^{\frac{5}{6}}$

• $x^{\frac{9}{2}}$

• $x^{\frac{3}{4}}$

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify and write with a rational exponent

• $x^{\frac{7}{9}}$

• $x^{\frac{7}{10}}$

• $x^{\frac{23}{10}}$

• $x^{\frac{12}{10}}$

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify and write with a rational exponent

• $x^{\frac{1}{2}}$

• $x^{\frac{9}{8}}$

• $x^{\frac{9}{4}}$

• $x^{\frac{6}{8}}$

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify and write with a rational exponent

• $x^{\frac{1}{2}}$

• $x^{\frac{1}{3}}$

• $x^{\frac{1}{15}}$

• $x^{\frac{3}{15}}$

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify and write with a rational exponent

• $x^{-\frac{25}{6}}$

• $x^{-\frac{9}{5}}$

• $x^{\frac{9}{6}}$

• $x^{\frac{25}{3}}$

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify and write with a rational exponent

• $x^{\frac{3}{10}}$

• $x^{\frac{3}{20}}$

• $x^{\frac{12}{20}}$

• $x^{\frac{3}{10}}$

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify and write with a rational exponent

• $\frac{x^{\frac{1}{5}}}{4}$

• $\frac{x^5}{4}$

• $4x^{\frac{1}{3}}$

• $x^{\frac{4}{3}}$

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify and write with a rational exponent

• $\frac{8x^{\frac{1}{8}}}{5}$

• $4x^{\frac{17}{8}}$

• $\frac{4x^{17}}{5x^8}$

• $\frac{4x^{\frac{1}{8}}}{5}$

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify and write with a rational exponent

• $x^{\frac{13}{12}}$

• $x^{\frac{3}{9}}$

• $x^{\frac{1}{24}}$

• $x^{\frac{11}{17}}$

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify and write with a rational exponent

• $2x^{\frac{9}{2}}$

• $x^{\frac{2}{9}}$

• $\frac{x^{\frac{7}{2}}}{2}$

• $\frac{1}{2x^{\frac{9}{2}}}$

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2