Rational Exponents and Properties of Exponents

Write the radical as a rational exponent

 $\sqrt{3}$  

•  $3^{\frac{1}{2}}$  

•  $3^{\frac{3}{1}}$  

•  $3^{\frac{1}{3}}$  

• 9

Tags

CCSS.HSN.RN.A.2

•  $7^3$  

•  $7^{\frac{1}{3}}$  

•  $3^7$  

•  $3^{\frac{1}{7}}$  

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

• 
  

  $2^{-\frac{4}{5}}$
  

• $2^{-\frac{5}{4}}$

• $-5^{\frac{4}{2}}$

• $5^{-\frac{2}{4}}$

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

• 
  

  $a^{\frac{2}{3}}$
  

• $a^{\frac{3}{2}}$

• $3^{\frac{a}{2}}$

• $2^{\frac{3}{a}}$

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

What is the cube root of five to the fourth power?

• 
• 
• 
• 

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $\left(5^{\frac{x}{3}}\right)\ \left(5^{\frac{x}{4}}\right)\ =\ 5^5$  Solve the equation

• x = 7

• x = 20

•  $x\ =\ \frac{60}{7}$  

•  $x\ =\ \frac{7}{60}$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.1

 $\left(2^{\frac{x}{2}}\right)\ \left(4^{\frac{x}{2}}\right)\ =\ 2^6$  Solve the Equation

•  $x\ =\ 4$  

•  $x\ =\ 2$  

•  $x\ =\ \frac{4}{2}$  

•  $x\ =\ 6$  

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.1

 $625^{2x-3}\ =\ 25^{3x-2}$  Solve the Equation

•  $x\ =\ 4$  

•  $x\ =\ 16$  

•  $x\ =\ \frac{60}{4}$  

•  $x\ =\ 5$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

Solve the equation

 $2\ =\ \left(4^{\frac{1}{3}}\right)\ \left(2^{\frac{x}{3}}\right)$  

•  $x\ =\ \frac{1}{3}$  

•  $x\ =\ 2$  

•  $x\ =1\$  

•  $x\ =\ \frac{1}{2}$  

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.CED.A.1

Solve the equation

 $\frac{27^{\frac{1}{4}}}{3^{\frac{x}{4}}}=\ 1$  

•  $x\ =\ 3$  

•  $x\ =\ 9$  

•  $x\ =\ \frac{1}{3}$  

•  $x\ =\ \frac{1}{9}$  

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2