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

Answer:

$\frac{-4a^{12}b^8}{5}$

Step-by-step explanation:

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

$\frac{-8a^8b^{-2}}{10a^{-4}b^{-10}}$

To simplify this we apply property of exponents

$\frac{a^m}{a^n} = a^{m-n}$

$\frac{-8}{10} =-\frac{4}{5}$

$\frac{a^8}{a^{-4}} = a^{8-(-4)}=a^{12}$

$\frac{b^{-2}}{b^{-10}} = b^{-2-(-10)}=b^{8}$

So simplified expression is

$\frac{-4a^{12}b^8}{5}$