Question

Apply the Property of Negative Integer Exponents to generate an expression equivalent to 7^-3 * 7^-5

Answer 1

To apply the property of negative integer exponents, we need to rewrite each term with a positive exponent.

First, we can rewrite 7^-3 as 1/7^3.

Similarly, we can rewrite 7^-5 as 1/7^5.

Now, we can multiply these two terms together:

1/7^3 * 1/7^5 = 1/(7^3 * 7^5)

To simplify further, we can add the exponents when multiplying powers with the same base:

1/(7^(3+5)) = 1/7^8

Therefore, the expression equivalent to 7^-3 * 7^-5 is 1/7^8.