Help me!!
Suppose you are a math teacher and you have just taught a lesson on exponents. A student asks you to review some worked problems. Look over the problems and correct any mistakes. Explain the errors in the student's reasoning.

(4a^2b^5)/(2a^6b^2) = 4/2 * a^2/a^6 * b^5/b^2 = 2 * a^4 * b^3 = 2a^4b^3

Question

Help me!!
Suppose you are a math teacher and you have just taught a lesson on exponents.  A student asks you to review some worked problems.  Look over the problems and correct any mistakes.  Explain the errors in the student's reasoning.
 
 
(4a^2b^5)/(2a^6b^2)  =  4/2  *  a^2/a^6 * b^5/b^2  = 2 * a^4 * b^3  = 2a^4b^3

cicilybailey14 · Answer

@ribhu ?

ribhu · Answer

whats the question exactly looks like is unclear to me

cicilybailey14 · Answer

I know what you mean..i'm suppose to fix the equation for the student correct mistakes in the equation if there is any.

igreen · Answer

I see one mistake.

igreen · Answer

$\dfrac{4a^2}{2a^6}$

For this section, we subtract the exponents, giving us 2 - 6, not 6 - 2..you put 4..

igreen · Answer

$2a^\color{red}4b^3$

cicilybailey14 · Answer

I didn't put 4 my teacher did lol but thanks!!!

igreen · Answer

Oh..

igreen · Answer

Nevermind..lol.

cicilybailey14 · Answer

So thats not the answer...im suppose to know what the fake "Student" didi wrong was that it?

igreen · Answer

We divide all the whole numbers together, and subtract all the exponents with like variables.

$\dfrac{4a^2b^5}{2a^6b^2} \rightarrow \dfrac{4}{2} a^{2-6}b^{5-3} \rightarrow 2a^{-2}{b^2}$

igreen · Answer

Sorry that should be $2a^{-4}b^2$

igreen · Answer

Yeah, he subtracte 6 - 2, when he should've subtracted 2 - 6.

igreen · Answer

*subtracted