Solve for x in 8x-2 = 2/25

Solve for x in 8x^-2 = 2/25

A. 4

B. 6

C. 8

D. 10

Answer: D

8x^-2 = 2/25; x = 10

Explanation

8x^{– 2} = 2/25

Divide through by 8

x^-2 = 2/25 X 1/ 8

x^-2 = 1/100

x^-2 is the reciprocal of x² = 1/x²

So, 1/x² = 1/100

x² = 100

Thus, x = square root of 100

Therefore, x = 10.

x = 10