Question

What is the value of b in the equation (y)*

1
(*)" - ?
у24
-20
О 6
ООО
6
20
HELPPPPPP

Answer 1

b = -6

Explanation:

Apply the exponent rule that
`(1)/(x^(n)) = x^(-n)`

In this case,
`(1)/(y^(24)) = y^(-24)`

Set that equal to
`(y^(b))^(4)`:

`(y^(b))^(4) = y^(-24)`

Apply the exponent rule that
`(x^(m))^(n) = x^(mn)` so now you get:

`y^(4b) = y^(-24)`

Since the base is y for both sides of the equation, just set the exponents equal to each other and solve for b.

4b = -24

divide each side by 4 to get:

b = -6