Question

i can retake the photo or just type it but please help i’m so confused on this question!!

Answer 1

$a)5^{4\cdot3}=5^{12}$

Explanation

Step 1

let's remember some properties of the operation with exponents

$\begin{gathered} a^m\cdot a^n=a^{m+n} \\ \frac{a^m}{a^n}=a^{m-n} \\ \frac{1}{a^n}=a^{-n} \\ (a^m)^n0a^{m\cdot n} \end{gathered}$

therefore, I f we have

$(5^4)^3$

Raj could have used

$\begin{gathered} (5^4)^3 \\ (5^4)^3=5^{4\cdot3}=5^{12} \end{gathered}$

hence, the answer is

$a)5^{4\cdot3}=5^{12}$

I hope this helps you