apply the property of negative integer exponents to generate an expression equivalent to 7^(-3)*7^(-5)

Question

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) * 7^(-5) can be written as (1/7^3) * (1/7^5).

Multiplying the fractions, we get (1/7^3) * (1/7^5) = 1/(7^3 * 7^5).

To simplify further, we can add the exponents when multiplying bases with the same value.

7^3 * 7^5 is equal to 7^(3+5) = 7^8.

Therefore, the expression 7^(-3) * 7^(-5) can be simplified to 1/7^8, equivalent with positive exponents only.