Indices (Zero, Negative and Fractional)

How else could you write  $4^{-2}$  ?

•  $16$  

•  $-16$  

•  $-\frac{1}{16}$  

•  $\frac{1}{16}$  

 $\frac{2}{x^3}=?$  

•  $2x^3$  

•  $2x^{-3}$  

•  $8x^3$  

•  $8x^{-3}$  

Which of the following is equivalent to the expression  $\frac{1}{2x^7}$  ?

•  $\left(2x\right)^{-7}$  

•  $\frac{1}{2}x^7$  

•  $\frac{1}{2}x^{-7}$  

•  $2x^{-7}$  

How else can you write  $\sqrt{x}$  ?

•  $x^{\frac{1}{2}}$  

•  $x^2$  

•  $x^{-2}$  

•  $x^{\frac{1}{4}}$  

Which of the following is equivalent to  $x^{\frac{2}{3}}$  ?

•  $3\sqrt{x^2}$  (cube root of x squared)

•  $\sqrt{x^3}$  (square root of x cubed)

•  $x^6$  

• None of these

Simplify the following  $3x^7\times2\sqrt{x}\times\frac{5}{x^3}$  

•  $30x^2$  

•  $30x^{\frac{21}{2}}$  

•  $30x^{\frac{9}{2}}$  

•  $30x^{\frac{7}{2}}$  

 $\left(\frac{7}{18}\right)^{-1}$  is equal to ...

•  $-\frac{7}{18}$  

•  $-\frac{18}{7}$  

•  $\frac{18}{7}$  

•  $\frac{7}{18}$  

Simplify $\left(34x^5y^6z^{-7}\right)^0$  .

•  $\frac{34x^5y^6}{z^7}$  

• 34

• 0

• 1

• x^-1

• x⁵

• 3a

• 3a^-1