Question

Find the value of each variable that makes the equation true
(7^4)^k = 7^- 8

Answer 1

K = -2

Explanation:

I don't know how many variable of k,but i only have 1 method to solve it.

First, (7^4)^k similar to 7^(4 × k)

So, 7^(4 × k) = 7^- 8

Since the based number(7) are same, so make the power equal

*example 7^x = 7^2, you know that x=2, so here

4 × k = -8

Lastly, 4×k=-8

K= -8÷4

K= -2

Hope that can help you. (◦˙▽˙◦)