Question

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

Answer:
`3^(14)`

Explanation:

`(3^(9) )/(3^(-5) )`

Properties of exponents (negative exponent) says that a term can be moved from the numerator to the denominator and vice versa by flipping the sign.

So,

`(1)/(3^(-5) ) =3^(5)`

Properties of exponents (Product Rule) also say that

`a^(x) *a^(y) = a^(x+y)`

So,

`3^9*3^5=3^(9+5) =3^(14)`

Another way to solve this is simply using the Properties of exponents (Quotient Rule) which states

`a^(x) /a^(y) =a^(x-y)`

So,

`(3^(9) )/(3^(-5) )=3^(9-(-5)) =3^(14)`