use the Property of Negative Integer Exponents to generate an expression equivalent to 7^−3⋅7^−5 with positive exponents only.
To generate an expression equivalent to 7^(-3)⋅7^(-5) with positive exponents only, we can use the property of negative integer exponents which states that a^(-n) = 1/(a^n).
First, let's rewrite 7^(-3) as 1/(7^3) and 7^(-5) as 1/(7^5). Now we can rewrite the expression with positive exponents:
1/(7^3) * 1/(7^5)
Using the property of multiplication of fractions, we can combine the expression:
1/(7^3 * 7^5)
Finally, using the property of exponentiation with the same base, we can simplify the expression:
1/7^8
Therefore, an expression equivalent to 7^(-3)⋅7^(-5) with positive exponents only is 1/7^8.