Apply the property of negative integer exponents to generate an expression equivalent to 5^-9/4^-12

1 answer

To apply the property of negative integer exponents, we can rewrite the expression as (1/5^9)/(1/4^12).

Next, we can simplify this expression by multiplying the numerator and the denominator by the reciprocal of the denominator.

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

Now, we can use the property of exponents, which states that when we multiply two terms with the same base, we add their exponents.

1/(5^9 * 4^12)