Final Exam Review #5

Final Exam Review #5

Rational Exponents and Roots

Multiple Choice

 $\sqrt{\frac{128x^7}{2x^3}}$  

•  $16x^2$  

•  $64x^4$  

•  $8x^4$  

•  $8x^2$  

Multiple Choice

Rewrite the expression without using a radical:

• (2x+1)^3/4

• (2x+1)^4/3

• 4(2x+1)³

• 3(2x+1)⁴

Multiple Choice

Simplify the following:

• A

• B

• C

• D

Multiple Select

 $8^{\frac{1}{3}}$   check at that applies

• 24

• 2

• cube root of 8

• 512

Multiple Choice

Simplify . Your answer should contain only positive exponents.  $u^{-\frac{5}{4}}v^2•\left(u^{\frac{3}{2}}\right)^{-\frac{3}{2}}$  

•  $\frac{v^2}{u^{\frac{7}{2}}}$  

•  $\frac{v^2}{u^{\frac{5}{2}}}$  

•  $\frac{v^2}{u^{\frac{5}{4}}}$  

•  $v^2$  

Multiple Choice

Simplify . Your answer should contain only positive exponents.  $\frac{3y^{-\frac{5}{4}}}{y^{-1}•2y^{-\frac{1}{3}}}$  

•  $\frac{3y^{\frac{1}{12}}}{2}$  

•  $\frac{3y^{\frac{19}{12}}}{2}$  

•  $\frac{3}{2y^{\frac{1}{12}}}$  

•  $\frac{3}{2y^{\frac{19}{12}}}$  

Multiple Choice

Rewrite using a positive exponent.
(-5)^-4

• (-5)⁴
• ¹/_(-5)^-4
• ¹/_(-5)⁴
• -625

Multiple Choice

Write the expression in radical form.
x^7/2

• √x⁷
• 7√x²
• 7x²
• ∛x⁷

Multiple Choice

Multiple Choice

Simplify:

 $\left(8x^9\right)^{-\frac{2}{3}}$  

•  $\frac{1}{4x^6}$  

•  $-4x^6$  

•  $4x^{-6}$