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) and (4^-12) as reciprocal terms with positive exponents.

Using the property, we know that (a^-n) is equal to 1/(a^n). Therefore, (5^-9) can be written as 1/(5^9), and (4^-12) can be written as 1/(4^12).

Now we can express the given expression with positive exponents only:

(5^-9)/(4^-12) = (1/(5^9))/(1/(4^12))

To simplify further, we can multiply the expression by the reciprocal of the denominator:

(1/(5^9))/(1/(4^12)) = (1/(5^9))*(4^12/1)

= (4^12)/(5^9)