Question

Guys, Can you please help me with these questions

Answer 1

a)
`w^(13) x^(5) y^(6)`

b)
`(x)/(3y^(6) )`

Explanation:

a)
`(w^(2) xy^(3) )^(2)(w^(3)x )^(3)`

1. Distribute the second power (2) outside the first pair of parenthesis:

`(w^(2(2)) x^(2) y^(3(2)) )`

=
`w^(4) x^(2) y^(6) (w^(3)x )^(3)`

2. Distribute the third power (3) outside the second pair of parenthesis:

`(w^(3(3)) x^(3) )`

=
`w^(4) x^(2) y^(6) w^(9) x^(3)`

3. Combine like terms:

`w^(13) x^(5) y^(6)`

--------------------------------------------

b)
`(2x^(2) y^(5) )/(6xy^(11) )`

1. Factor the number 6 (= 2 · 3):

`(2x^(2) y^(5) )/(2(3)xy^(11) )`

2. Cancel the common factor (2):

`(x^(2) y^(5) )/(3xy^(11) )`

3. Cancel out
`xy^(5)` in the numerator an denominator:

`(x)/(3y^(6) )`

hope this helps!