Question

If zt ⋅ z5 = z15 , what is the value of t ?

Answer 1

t = 10

Explanation:

z^t ⋅ z^5 = z^15

We know that a^b*a^c = a^(b+c)

z^(t+5) = z^15

Since the bases are the same, the exponents are the same

t+5 = 15

t = 15-5

t = 10