Apply the property of negative integer exponents to rewrite 7^(-3) * 7^(-5) as an expression with positive exponents only.
7^(-3) * 7^(-5) = _
To rewrite 7^(-3) * 7^(-5) with positive exponents only, we use the property of negative integer exponents, which states that a^(-n) = 1 / (a^n).
Using this property, we get:
7^(-3) * 7^(-5) = 1 / (7^3) * 1 / (7^5)
Now, we use the property of exponents that states that when dividing two numbers with the same base, we subtract the exponents:
1 / (7^3) * 1 / (7^5) = 1 / (7^(3+5))
Simplifying the exponent, we get:
1 / (7^(8))
So, 7^(-3) * 7^(-5) is equal to 1 / (7^(8)).