Apply the property of negative integer exponents to generate an expression equivalent to 7^-3 x 7^-5 with positive exponents only

Answer 1

To apply the property of negative integer exponents, we can rewrite 7^-3 as 1/7^3 and 7^-5 as 1/7^5.

So, the expression 7^-3 x 7^-5 can be written as (1/7^3) x (1/7^5).

Now, using the properties of multiplication with exponents, we can simplify this expression further:
(1/7^3) x (1/7^5) = 1/(7^3 x 7^5)

To combine the bases with the same exponent, we add the exponents:
7^3 x 7^5 = 7^(3+5) = 7^8

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