[tex]a)5^{4\cdot3}=5^{12}[/tex]
Explanation
Step 1
let's remember some properties of the operation with exponents
[tex]\begin{gathered} a^m\cdot a^n=a^{m+n} \\ \frac{a^m}{a^n}=a^{m-n} \\ \frac{1}{a^n}=a^{-n} \\ (a^m)^n0a^{m\cdot n} \end{gathered}[/tex]
therefore, I f we have
[tex](5^4)^3[/tex]
Raj could have used
[tex]\begin{gathered} (5^4)^3 \\ (5^4)^3=5^{4\cdot3}=5^{12} \end{gathered}[/tex]
hence, the answer is
[tex]a)5^{4\cdot3}=5^{12}[/tex]
I hope this helps you
