Question

What is the quotient of -8a^8b^-2/10a^-4b^-10 in simplified form? Assume a=0 b=0 A.) -4a^12b^8/5 B.)-4a^32b^5/5 C.)a^12b^8/80 D.)a^32b^5/80

Answer 1

-8a^8b^-2/10a^-4b^-10

= (-8/10) a^(8+4)b^(-2+10)

= -4/5 a^12 b^8

=-4 a^12 b^8 / 5

Answer is A.) -4 a^12 b^8 / 5

Answer 2

`(-4a^(12)b^8)/(5)`

Explanation:

Write -8a^8b^-2/10a^-4b^-10 in simplified form

`(-8a^8b^(-2))/(10a^(-4)b^(-10))`

To simplify this we apply property of exponents

`(a^m)/(a^n) = a^(m-n)`

`(-8)/(10) =-(4)/(5)`

`(a^8)/(a^(-4)) = a^(8-(-4))=a^(12)`

`(b^(-2))/(b^(-10)) = b^(-2-(-10))=b^(8)`

So simplified expression is

`(-4a^(12)b^8)/(5)`