Verified answer

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Recall (a*b)^n = a^n * b^n.

Recall a^0 = 1 if a is not zero.

Assuming c and d are not zero we have

(5*c^-3*d^2)^3 * (7c^-3*d^8)^0 =

(5^3*c^-9*d^6) * (1) =

5^3 * d^6 / c^9

( 5c^−3 d^2 )^3 ( 7c^−3 d^8 )^0

= ( 5c^−3 d^2 ) ( 5c^−3 d^2 ) ( 5c^−3 d^2 ) ( 7c^−3 d^8 )

= ( 25c^−6 d^4 ) ( 5c^−3 d^2 ) ( 7c^−3 d^8 )

= ( 125c^−9 d^6 ) ( 7c^−3 d^8 )

= ( 875c^−12 d^14 )

= 875c^−12 d^14

= 875 d^14 / c^12

a million / 9x^2 : unfavourable exponent potential in simple terms positioned this expression interior the DENOMINATOR of a fragment, then do the potential. This will become a million / (-3x)^2, this is a million / (-3)(-3)(x)(x) which = a million / 9x^2