**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 x^{2} = 1/x^{2}

So, 1/x^{2} = 1/100

x^{2} = 100

Thus, x = square root of 100

Therefore, x = 10.

**x = 10**