S4 Maths_Revision on Laws of Indices

How do you read the symbol  $a^4$  ? 

(a)  

What's the meaning of  $3^3$  ?

•  $3\times3$  

•  $3\times3\times3$  

 $y^3\cdot y^5=$  

•  $y^{\left(3\times5\right)}=y^{15}$  

•  $y^{\left(3+5\right)}=y^8$  

 $\frac{x^{12}}{x^4}=$  

•  $x^{\left(12-4\right)}=x^8$  

•  $x^{\left(12\div4\right)}=x^3$  

•  $\frac{1}{x^{\left(12-4\right)}}=\frac{1}{x^8}$  

•  $\frac{1}{x^{\left(12\div4\right)}}=\frac{1}{x^3}$  

 $\frac{x^4}{x^{12}}=$  

•  $x^{\left(12-4\right)}=x^8$  

•  $x^{\left(4\div12\right)}=x^{\frac{1}{3}}$  

•  $\frac{1}{x^{\left(12-4\right)}}=\frac{1}{x^8}$  

•  $\frac{1}{x^{\left(12\div4\right)}}=\frac{1}{x^3}$  

 $y^{-3}=$  

•  $y^{\frac{1}{3}}$  

•  $\frac{1}{y^3}$  

Which of the following is correct?

•  $\frac{\left(-4\right)^5}{\left(-4\right)^3}=\left(-4\right)^{\left(5-3\right)}=\left(-4\right)^2=-16$  

•  $\frac{\left(-4\right)^5}{\left(-4\right)^3}=\frac{-4^5}{-4^3}=\frac{4^5}{4^3}=4^{\left(5-3\right)}=4^2=16$  

•  $\frac{\left(-4\right)^5}{\left(-4\right)^3}=\frac{5}{3}$