Question

Please help me with this, I recently started Algebra 1 and I'm already stuck and I really don't want to fail so here's the problem:

1/3^2 • 1/3^3

It looks like such a simple problem. I have answers in the back of my book but I want to know how to do it because my teachers gives daily quizzes on each topic we cover so please help me out.

( • = multiplication )

Thanks in advance.

Answer 1

is that one over three?

Answer 2

\[\frac{ 1 }{ 3*3 }*\frac{ 1 }{ 3*3*3 }=\frac{ 1 }{ 3*3*3 *3*3}=\frac{ 1 }{ 3^5 }\]

Answer 3

@ememnim , yeah. It is 1 over 3 to the second power times 1 over 3 to the third power.

Answer 4

@sshayer , is 3^-5 the same thing as 1/3^5 ?

Answer 5

\[\frac{ 1 }{ 3^2 }=\frac{ 1 }{ 3*3 }\]
yes\[\frac{ 1 }{ 3^5 }=3^{-5}\]

Answer 6

@sshayer , I might have a couple other questions , can you help me with that as well or should I post another question for each one ?

Answer 7

i will try.

Answer 8

@sshayer (1/7^3)^4

Answer 9

\[\left( \frac{ 1 }{ 7^3 } \right)^4=\frac{ 1^4 }{ 7^{3*4} }=\frac{ 1 }{ 7^{12} }\]

Answer 10

\[\left( a^p \right)^q=a ^{pq}\]