## Simplifying the Expression: (5/9)-2 x (3/5)-3x (3/5)0

This expression involves fractions, exponents, multiplication, and subtraction. To solve it, we need to follow the order of operations (PEMDAS/BODMAS):

**Parentheses/Brackets:**None in this case.**Exponents:**We have two exponents:**(5/9)-2:**This means (5/9) multiplied by itself twice.**(3/5)0:**Any number raised to the power of 0 equals 1.

**Multiplication and Division (from left to right):****(5/9)-2:**Calculate this first. Remember, a negative exponent means taking the reciprocal.**-2 x (3/5):**Multiply these.**-3 x (3/5)0:**Since (3/5)0 = 1, this simplifies to -3 x 1.

**Addition and Subtraction (from left to right):**- Add and subtract the results of the previous calculations.

**Let's break it down step-by-step:**

**(5/9)-2 = (9/5)2 = 81/25****-2 x (3/5) = -6/5****-3 x (3/5)0 = -3 x 1 = -3**

Now, we have:

**81/25 - 6/5 - 3**

To subtract these fractions, we need a common denominator:

**81/25 - 30/25 - 75/25**

Finally, we can combine the numerators:

**(81 - 30 - 75)/25 = -24/25**

Therefore, the simplified expression is **-24/25**.