Question

Can someone help and answer this problem please!

Answer 1

C.)
`(a^6)/(b^5)`

Explanation:

`(a^2b^(-7))/(a^(-4)b^(-2))`

Use the quotient rule
`(x^a)/(x^b)=x^(a-b)` :

`a^(2+4)b^(-7+2)\\\\a^6b^(-5)\\\\`

Use the negative power rule
`x^(-a)=(1)/(x^a)` :

`a^6*(1)/(b^5)\\\\(a^6*1)/(b^5)\\ \\(a^6)/(b^5)`

:Done

Answer 2

D

Explanation:

`(a^2b^(-7))/(a^(-4)a^(-2))=\\(a^2)/(a^(-4))\cdot (b^(-7))/(b^(-2))=`

`a^6b^(-5)`, or option D. Hope this helps!