Chapter 6 Review Part 1

$x^{\frac{4}{7}}$

$x^{\frac{7}{4}}$

$\frac{1}{x^{\frac{4}{7}}}$

$\frac{1}{x^{\frac{7}{4}}}$

$\left(7x\right)^{\frac{3}{2}}$

$\left(7x\right)^{\frac{1}{3}}$

$\left(7x\right)^{\frac{1}{2}}$

$\left(7x\right)^{\frac{2}{3}}$

Add the exponents on the inside of the parentheses.

Add the exponents for the same bases on the outside of the parentheses.

Multiply the exponent 3/2 to the exponents on the inside of the parentheses.

You add the exponents for the variables with the same base.

You multiply the exponents for the variables with the same base.

You subtract the exponents for the variables with the same base.

You cancel out the common factors.

$\frac{11}{6}$

$-\frac{13}{6}$

$\frac{13}{6}$

$-\frac{11}{6}$

 $\frac{5}{9}$  

 $\frac{1}{5}$  

 $\frac{9}{5}$  

 $2$  

 $45$  

 $15x\sqrt{5}$  

 $3\sqrt{5}$  

 $3x\sqrt{5}$  

 $-2\sqrt{6}$  

 $2\sqrt{6}$  

 $-3\sqrt{6}$  

 $-5\sqrt{6}$  

A

B

C

D

-13

17

-1

5

$x^2-7x-1$

$x^2+2x+2$

$x^2-7x+1$

$-2x^2-3x+4$

A

B

C

D

A

B

C

D

 $y^{-1}=\frac{x^3}{2}$  

 $y^{-1}=\ ^3\sqrt{\frac{x}{2}}$  

 $y^{-1}=\frac{^3\sqrt{x}}{2}$  

 $y^{-1}=2x^3$  

Their x's and y's are switched.

They are symmetric about the line y = x.

The slopes are reciprocals.

They like each other.

Vertical shrink

Vertical stretch

Shifted down 3 units

Flipped upside down (x-axis reflection)

a

h

k

x

y