Question

What is the value of b in the equation

Answer 1

b = - 6

Explanation:

Using the rules of exponents

`(a^(m)) ^(n)` ⇔
`a^(mn)`

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

Thus

`(y^(b)) ^(4)` =
`y^(4b)` =
`(1)/(y^(24) )` =
`y^(-24)`, then equating the exponents

4b = - 24 ( divide both sides by 4 )

b = - 6