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)`

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

`(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