Question

Ex 5 and 6 and make it deatailed.
Not just the answer.

Answer 1

3. 5

5x • y I am pretty sure this is the answer. The exponents might be wrong.

Explanation:

7 8

10x y 3 5

———- x ————- = 5x • y

4 3

2x y

Answer 2

see explanation

Explanation:

Using the rules of exponents

`a^(m)` ×
`a^(n)` ⇔
`a^((m+n))`

`(a^(m) )/(a^(n) )` ⇔
`a^((m-n))`

(5)

Split the factors into like terms

=
`(10)/(2)` ×
`(x^(7) )/(x^(4) )` ×
`(y^(8) )/(y^(3) )`

= 5 ×
`x^((7-4))` ×
`y^((8-3))`

= 5x³
`y^(5)`

(6)

Consider the left side

`(y^((4+n)) )/(y^2)` =
`y^((4-2+n))` =
`y^(2+n)`, then

`y^(2+n)` =
`y^(-3)`

Since the base on both sides is y, equate the exponents

2 + n = - 3 ( subtract 2 from both sides )

n = - 5