COongrats Goodness Barak

EXPANDING .....
[(P^-8 Q⁴)/(5P^-2 Q⁴)] × [(P^6 /Q^-9)]
Q⁴ CAN NOW CANCEL EACH OTHER
[(1/5)(P^-8/P^-2)] × [P^6/Q^-9]
USING LAW OF INDICES I CAN NOW SUBTRACT THE POWERS
[(1/5)(P^-8--2)] × [P^6/Q^-9]
[(1/5)(P^-6)] × [P^6/Q^-9]
[(P^-6)/5] × (P^6/Q^-9)
MULTIPLYING....
[ P^-6 × P^6 ] /[5 ×Q^-9]
USING LAW OF INDICES I CAN NOW ADD THE POWERS
[P^-6+6]/[5Q^-9]
[P^O]/[5Q^-9]
ANYTHING RAISED TO POWER OF ZERO IS 1
1 /5Q^-9
(5Q^-9)^-1
(5^-1)(Q^-9×-1)
5^-1Q^9
(1/5) ×Q^9
(Q^9)/5.

EXPANDING .....
[(P^-8 Q⁴)/(5P^-2 Q⁴)] × [(P^6 /Q^-9)]
Q⁴ CAN NOW CANCEL EACH OTHER
[(1/5)(P^-8/P^-2)] × [P^6/Q^-8]
USING LAW OF INDICES I CAN NOW SUBTRACT THE POWERS
[(1/5)(P^-8--2)] × [P^6/Q^-9]
[(1/5)(P^-6)] × [P^6/Q^-9]
[(P^-6)/5] × (P^6/Q^-9)
MULTIPLYING....
[ P^-6 × P^6 ] /[5 ×Q^-9]
USING LAW OF INDICES I CAN NOW ADD THE POWERS
[P^-6+6]/[5Q^-9]
[P^O]/[5Q^-9]
ANYTHING RAISED TO POWER OF ZERO IS 1
1 /5Q^-9
(5Q^-9)^-1
(5^-1)(Q^-9×-1)
5^-1Q^9
(1/5) ×Q^9
(Q^9)/5.

(P-²Q³)³/5