2•3^-4/5^-2 simplify

To simplify 2•3^-4/5^-2, we need to apply the rules of exponents.

The rule states that when you have a negative exponent on a number or variable, you can move it to the denominator by changing the sign of the exponent.

So, in this case, we can rewrite the expression as:

2 • (5^2/3^4)

Now, we can simplify the exponents by calculating the values:

2 • (25/81)

Finally, we multiply 2 by the fraction:

2 * 25/81 = 50/81

Therefore, 2•3^-4/5^-2 simplifies to 50/81.