Please simplify.

Question

1.) (c^-3)^2d^4/d^-2=

2.)(e^4)^-3f^-5/f^-2=

3.)(8^-7/8)^-2=

thank you. :)

Answer 1

Just realize that a negative exponent switches the factor between numerator and denominator.

(c^-3)^2d^4/d^-2
= c^-6 d^4/d^-2
= d^6/c^6

(e^4)^-3f^-5/f^-2
= e^-12 f^-5/f^-2
= e^-12 f^-3
= 1/(e^12f^3)

(8^-7/8)^-2
= (8^-8)^-2
= 8^16

Answer 2

Thanks alot .