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

Answer 1

To generate an expression equivalent to 5^−9/4^−12 with positive exponents only, we can apply the property of negative exponents, which states that for any nonzero number a, a^−m = 1/a^m.

First, let's apply the property to the denominator and rewrite 4^−12 as 1/4^12.

Now, the expression becomes 5^−9 / (1/4^12).

Next, let's simplify the expression further by moving 5^−9 to the denominator by changing its sign:

1/(5^9 / 4^12).

Finally, let's simplify the expression by dividing the numerator and denominator of the fraction:

1 * 4^12 / 5^9.

Therefore, the expression equivalent to 5^−9/4^−12 with positive exponents only is 4^12 / 5^9.