## Understanding (5/8)^-2

The expression (5/8)^-2 might seem intimidating, but it's actually quite straightforward to understand and calculate. Let's break it down:

### Negative Exponents

A **negative exponent** indicates the reciprocal of the base raised to the positive version of the exponent. In other words:

**x^-n = 1/x^n**

Therefore, (5/8)^-2 is equivalent to 1/(5/8)^2.

### Simplifying the Expression

Now, let's focus on (5/8)^2. This means multiplying (5/8) by itself:

**(5/8)^2 = (5/8) * (5/8) = 25/64**

Substituting back into our original expression:

**1/(5/8)^2 = 1/(25/64)**

### Division by a Fraction

Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 25/64 is 64/25. Therefore:

**1/(25/64) = 1 * (64/25) = 64/25**

### Final Answer

Therefore, (5/8)^-2 simplified without exponents is **64/25**.