Unit 5 Review (Alg 3-4)

Put the expression into radical form:

• $\ ^2\sqrt{x^3}$

• $\ ^3\sqrt{x^2}$

• $3x^2$

• $\sqrt{x^2}$

Put the expression into radical form:

• $y\ \sqrt{y^2}$

• $7_{\sqrt{y^5}}$

• $y\times y^2$

• $5_{\sqrt{y^7}}$

Rewrite the expression with rational exponents.

• $z^{\frac{4}{5}}$

• $z\cdot\ ^4\sqrt{z}$

• $\ ^5\sqrt{z^4}$

• $z^{\frac{5}{4}}$

Rewrite the expression with rational exponents.

• $\sqrt{x^3}$
  

• $x^{\frac{9}{2}}$

• $x^3$

• $x^{\frac{2}{9}}$

Simplify by factoring.

• $\ ^4\sqrt{x^4y^8}$
  

• $xy^4$
  

• $x^3y^2$

• $x^2y^3$

Simplify by factoring.

• $3x\cdot\ ^3\sqrt{x}$

• $9x\cdot\ ^3\sqrt{x}$

• $3\cdot\ ^3\sqrt{x^4}$

• $9x^2$

Simplify by factoring.

• $8x\sqrt{x^3y}$

• $8x^2\sqrt{xy}$

• $4x\sqrt{xy}$

• $4x^2y\sqrt{x}$

Multiply:

• $2x\cdot\ ^3\sqrt{2x}$

• $3x^2$

• $2x^2$

Multiply:

• $x^{\frac{1}{-1}}$

• $x^{\frac{5}{12}}$

• $x^{\frac{3}{7}}$

• $x^{\frac{11}{12}}$
  

Divide:

• $x^{\frac{2}{5}}$

• $x^{\frac{3}{1}}$

• $x^{\frac{3}{25}}$

• $x^{\frac{4}{10}}$