Rational and Radical Expressions

Rational and Radical Expressions

Multiple Choice

 $\sqrt{x\ ^4}$  What is the power in the radican?

• 2

• 4

• X

Multiple Choice

 $\sqrt{x^{4\ }}$  What is the index of this radical?

• 2

• 4

• X

Multiple Choice

 $\sqrt{x^4}$  What is the radican of this radical?

• 2

• 4

• X

Rational Notation

• Rational notation is a signal that a radical is being used . You can identify rational notation when a base has a fractional exponent.

• Open the link below in a new window to see more:

• https://www.khanacademy.org/video/fractional-exponents-with-numerators-other-than-1

Multiple Choice

 $x\ ^{\frac{3}{4}}$  What number is the numerator of the exponent?

•  $\frac{3}{4}$  

• 3

• X

• 4

Multiple Choice

 $x^{\frac{3}{4}}$  What number is the denominator of the exponent?

•  $\frac{3}{4}$  

• 3

• X

• 4

Multiple Choice

 $625^{\frac{3}{4}}$  =

Multiple Choice

 $1000^{\frac{2}{3}}$  

Multiple Choice

 $121^{-\frac{3}{5}}$  =

Multiple Choice

• $y^{\frac{2}{5}}$

• $y^{\frac{5}{2}}$

Multiple Choice

• $\left(mn\right)^{\frac{4}{3}}$

• $\left(mn\right)^{\frac{3}{4}}$

Multiple Choice

• $\left(15xy\right)^{15}$

• $\left(15xy\right)^{\frac{1}{15}}$

Multiple Choice

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

Multiple Choice

 $\left(\frac{x^2}{x^{-11}}\right)^{\frac{1}{3}}$