Apply the Property of Negative Integer Exponents to generate an expression equivalent to 5^−9/4^−12 with positive exponents only.

Answer 1

To apply the Property of Negative Integer Exponents, we can rewrite 5^(-9) as 1/5^9 and 4^(-12) as 1/4^12.

So, the expression 5^(-9)/4^(-12) can be written as (1/5^9)/(1/4^12).

Now, to simplify this expression and get positive exponents only, we can use the property of dividing fractions by multiplying by the reciprocal.

Therefore, (1/5^9)/(1/4^12) = (1/5^9) * (4^12/1).

Simplifying further, we can write this as 4^12/5^9 with positive exponents only.