simplify 2*3^-4/5^-2

Answer 1

To simplify the expression 2 * 3^(-4) / 5^(-2), we can use the rules of exponents.

First, let's simplify the exponent of 3 using the rule "a^(-b) = 1 / a^b":
2 * 3^(-4) becomes 2 / 3^4.

Next, let's simplify the exponent of 5 using the same rule:
2 / 3^4 divided by 5^(-2) becomes 2 / 3^4 * 5^2.

Now, let's evaluate 3^4 and 5^2:
2 / (81 * 25) = 2 / 2025.

Therefore, the simplified expression is 2 / 2025.