Apply the Property of Negative Integer Exponents to generate an expression equivalent to 5−94−12 with positive exponents only.(1 point)

1 answer

To apply the Property of Negative Integer Exponents, we can rewrite an expression with a negative exponent by taking the reciprocal of the base and changing the sign of the exponent to positive.

Using this property, 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).

Simplifying this expression, we can combine the reciprocals by multiplying the numerators and the denominators:

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

Therefore, the expression with positive exponents only, equivalent to 5^-9 * 4^-12, is 1/(5^9 * 4^12).