What is the value of t in the equation below?

(7^-64)x(7^-150)/(7^-7)x(7^2)=7^t
Help please i get lost when its a huge problem like this but if it's short i can solve it.
(7^-64)x(7^-150)/(7^-7)x(7^2)
= 7^(-64-150+7-2)
= 7^-209

so, t = -209
answer is= 209
and its wrong i don't understand how

2 answers

t=
In(x)
----- -205
In(7)
(7^-64)x(7^-150)/(7^-7)x(7^2)=7^t
when multiplying powers with the same base, keep the base and add the exponents

Left Side = 7^(-64 -150 -7 + 2)
= 7^-209

so we have:
7^-209 = t^t
clearly t = -209

If the text has an answer of +209, it is wrong.
Do you perhaps have a typo, such as 7^-t ?
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