Question

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

Answer 1

To apply the Property of Negative Integer Exponents, we know that any number raised to a negative exponent can be rewritten as the reciprocal of the number raised to the positive exponent.

So, for 5^(-9), we can rewrite it as 1/(5^9) because when we switch the sign of the exponent, it becomes the reciprocal of the number raised to the positive exponent.

Similarly, for 4^(-12), we can rewrite it as 1/(4^12).

Combining both of these, the expression 5^(-9) * 4^(-12) can be written as:

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

This expression is equivalent to 5^(-9) * 4^(-12) with positive exponents only.