Simplify. 5^-1(3^-2)

Question

A. 45
B. 1/45
C. 15^-3
D. 15^2

Answer 1

To simplify 5^-1(3^-2), we first simplify 5^-1 as 1/5 and 3^-2 as 1/3^2.

So the expression becomes (1/5)(1/3^2).

Next, we simplify 3^2 as 9.

So the expression becomes (1/5)(1/9).

Finally, we can multiply the fractions to get 1/45.

Therefore, the simplified expression is B. 1/45.