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 can use the rule that says a^(-b) is equal to 1/a^b.

Therefore, 5^-1 is equal to 1/5^1 and 3^-2 is equal to 1/3^2.

Using these, we have:

5^-1(3^-2) = (1/5^1)(1/3^2) = (1/5)(1/9) = 1/(5*9) = 1/45

Therefore, the simplified form is option b) 1/45.