Question

I need help with the rules of exponents!

Answer 1

……

Answer 2

a^x time a^y = a^(x+y)

so you add exponents.

Answer 3

So, 3^(-5) times 3^1 = ?

Answer 4

?

Answer 5

Yes, 3^(-4).

It happens to be that 3^(-4) = 1/(3^4)

But 3^(-4) is correct.

Answer 6

\(\bf 3^{-5}\cdot 3\implies 3^{-5}\cdot 3^1\qquad \textit{recall that}\quad a^n\cdot a^m=a^{n+m}\quad thus\\ \quad \\
3^{-5}\cdot 3^1\implies 3^{-5+1}\)