Apply the Property of Negative Integer Exponents to generate an expression equivalent to 7−^3⋅7−^5 with positive exponents only

Answer 1

To apply the Property of Negative Integer Exponents and generate an expression with positive exponents only, we can rewrite 7^(-3) as 1/(7^3) and 7^(-5) as 1/(7^5).

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

Using the property of exponents for multiplying, we know that when we multiply two expressions with the same base, we can add their exponents.

Therefore, (1/(7^3)) ⋅ (1/(7^5)) is equal to 1/(7^(3+5)).

Simplifying the exponent, we get 1/(7^8).

So, after applying the Property of Negative Integer Exponents, the expression 7^(-3) ⋅ 7^(-5) is equivalent to 1/(7^8), which has a positive exponent only.