Question

What is the value of b in the equation (y^b)^4=1/y^24?

A.) -20
B.)-6
C)6
D.)20

Answer 1

b = 6

Explanation:

In (y^b)^4=1/y^24 we can re-write (y^b)^4 as y^(4b) and then equate this result to y^24. Setting the exponents equal to one another, we get 4b = 24, or b = 6.