To find the value of k, let's break down the equation step by step:
K-² x 2³ = 2⁷
Simplifying the exponents, we have:
K-² x 8 = 128
Dividing both sides of the equation by 8, we get:
K-² = 16
Taking the square root of both sides, we find:
K = ±4
Therefore, the value of k can be either -4 or 4.