Index Laws Review

Write in index form: 5 x 5 x 5

• 5³

• 555

• 5^5

• 5 x 3

Write in index form:

 $\frac{9\times9\times9\times9\times9}{9\times9}$  

•  $9^2$  

•  $9^5$  

•  $9^3$  

•  $9^7$  

Simplify the following into INDEX form: 7² x 7⁶

• 7¹²

• 7⁸

• (7 x 7) x (7 x 7 x 7 x 7 x 7 x 7)

• 7¹⁰

Simplify the following:

 $5^{13}\div5^6$ 

•  $5^{19}$  

•  $5^{76}$  

•  $5^7$  

•  $5^6$  

Simplify the following in index notation: (8³)²

• 8⁶

• 8⁵

• 8

• 8 x 3 x 2

(Hard problem) Simplify the following

 $\frac{26x^7y^4}{13x^2y^3}$  

•  $13x^5y$  

•  $2x^5y^3$  

•  $13x^1y^5$  

•  $2x^5y$  

Simplify the following:

 $\frac{x^4}{y}\times\frac{y^3}{x}$  

•  $\frac{x^4y^3}{yx}$  

•  $\frac{x^4+y^3}{y+x}$  

•  $x^3y^2$  

•  $x^5y^4$  

Simplify the following:  $\left(\frac{3}{4}\right)^{-1}$  

• 4 x 3
  

•  $\frac{4}{3}$  

• 3 / 4
  

• 0.75

Simplify the following to positive indices:  $\left(\frac{3}{4}\right)^{-2}$  

•  $\frac{3^2}{4^2}$  

•  $\frac{4}{3}$  

•  $\frac{16}{9}$  

•  $\frac{4^2}{3^2}$  

Simplify and Solve the following:  $\frac{8x^3\times3x^{-3}}{4x^0}$  

• 6

• 4x

• 6x

•  $\frac{24x}{x}$