Express 3a 2b -1 with positive exponents. this is annoying i dont understand please help me

Question

sleepyjess · Answer

Hello ^_^ Welcome to OpenStudy! Could you type the equation using the Equation Editor button?

rulerlol113 · Answer

$$Express 3a ^{2} b ^{-1} with positive exponents.$$

pooja195 · Answer

$$\huge~\rm~\bf~3a^2b^{-1}$$

rulerlol113 · Answer

i need to know how to make that positive it shows a fraction as the answer or maybe its a divison thing

pooja195 · Answer

@sleepyjess You may continue helping, I wrote out the problem with the equation tool

sleepyjess · Answer

Anything with a negative exponent is 1/term^exponent. So if we had $b^{-8}$, that would turn in to $\dfrac{1}{b^8}$

rulerlol113 · Answer

thank you sleepyjess

sleepyjess · Answer

Here, we have $b^{-1}$, so what do you think that becomes?

rulerlol113 · Answer

$$\frac{ 1 }{ b ^{1} }$$

sleepyjess · Answer

Yep :)

rulerlol113 · Answer

what about the rest?

sleepyjess · Answer

And then we just plug that back into the equation, which becomes $3a^2(\dfrac 1b)$, which can actually be further simplified to $\dfrac{3a^2}{b}$

rulerlol113 · Answer

thank you so much

sleepyjess · Answer

No problem :)