1 Answer

Dsteplight · Answer 1 · 2023-05-24T19:38:50+0000

$a)5^(4\cdot3)=5^(12)$

Step-by-step explanation

Step 1

let's remember some properties of the operation with exponents

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

therefore, I f we have

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

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