Question

(3x^-2y)*(8xy^-3) --- SOLVE

Answer 1

1 Use Negative Power Rule: x−a=1xax−a=1xa
3×1x2y×8xy−33×1x2y×8xy−3
2 Use Negative Power Rule: x−a=1xax−a=1xa
3×1x2y×8x×1y33×1x2y×8x×1y3
3 Simplify
24yxx2y324yxx2y3
4 Use Quotient Rule: xaxb=xa−bxaxb=xa−b
24y1−3x1−224y1−3x1−2
5 Simplify 1−31−3 to −2−2
24y−2x1−224y−2x1−2
6 Simplify 1−21−2 to −1−1
24y−2x−124y−2x−1
7 Use Negative Power Rule: x−a=1xax−a=1xa
24×1y2x−124×1y2x−1
8 Use Negative Power Rule: x−a=1xax−a=1xa
24×1y2×1x24×1y2×1x
9 Simplify
24y2x24y2x

Answer 2

`(3x^2-2y)*( 8xy ^(-3) )`

Remove parentheses : (a) = a


`= (3x^2-2y) * 8xy ^(-3)`


`y^(-3)`

Apply expoent rule


`a ^(-b) = (1)/(a ^(b) )`


`= (1)/(y^3)`


`8x (1)/(y^3) (3x^2-2y)`

Multiply fractions:


`a* (b)/(c) = (a*b)/(c)`


`= (8(3x^2-2y))/(y^3)`

hope this helps!