Question

NEED HELP ASAP!

Which expressions are equivalent to the one below? Check all that apply. 5^x

A. 15^x/3^x

B. x^5

C. 5*5^x+1

D. (15/3)^x

E. 5*5^x-1

F.15^x/3

Answer 1

`A.\ (15^x)/(3^x)=\left((15)/(3)\right)^x=(5)^x=5^x\\\\Used\ \left((a)/(b)\right)^n=(a^n)/(b^n)\\\\D.\ \left((15)/(3)\right)^x=(5^x)=5^x\\\\E.\ 5\cdot5^(x-1)=5^1\cdot5^(x-1)=5^(1+x-1)=5^x\\\\Used\ a^n\cdot a^m=a^(n+m)\\\\Answer:\ A,\ D\ and\ E.`