Negative Exponent Expressions

[woody61]

Would you please help with these 2 questions from my freshman high school algebra I homework? Simplify these expressions:
1) 7ab (to the negative exponent of 2) divided by 3w. I got this far.
= 7a times (b to the negative exponent of 2) divided by 3w
= 7a times (1/b squared) divided by 3w
= 7a over b squared divided by 3w
= ? (As far as I got)

2) 7s/5t (to the negative exponent of 3)

Please help! Thanks!

 

[wjm11]

Would you please help with these 2 questions from my freshman high school algebra I homework? Simplify these expressions:
1) 7ab (to the negative exponent of 2) divided by 3w. I got this far.
= 7a times (b to the negative exponent of 2) divided by 3w
= 7a times (1/b squared) divided by 3w
= 7a over b squared divided by 3w
= ? (As far as I got)

2) 7s/5t (to the negative exponent of 3)

Please help! Thanks!

(7ab^(-2))/(3w) = (7a)(1/b^2)(1/3w) = (7a)/(3wb^2)

(7s/5t)^(-3) = (5t/7s)^(3) = ((5^3)(t^3))/((7^3)(s^3)) = (125t^3)/(343s^3)