simplify 5^-1(3^-2
To simplify 5^-1(3^-2), we can rewrite it as (1/5)(1/3^2).
To simplify it further, we multiply 1/5 by 1/3^2 to get 1/5 * 1/9 = 1/45.
So, 5^-1(3^-2) simplifies to 1/45.
To simplify the expression 5^-1(3^-2), you need to evaluate the exponents first.
First, evaluate 5^-1, which means taking the reciprocal of 5. So, 5^-1 = 1/5.
Next, evaluate 3^-2, which means taking the reciprocal of 3^2. So, 3^-2 = 1/3^2 = 1/9.
Now, multiply the two simplified fractions:
1/5 * 1/9 = 1/45.
Therefore, 5^-1(3^-2) simplifies to 1/45.