Question

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.

Answer 1

just add exponents when multiplying and subtract when dividing. So,

(7^-64)x(7^-150)/(7^-7)x(7^2)
= 7^(-64-150+7-2)
= 7^-209

so, t = -209

or, knowing that negative exponents mean that you swap places in the fraction, you have

7^7 / (6^64 * 7^150 * 7^2) = 1/7^209

Answer 2

its wrong