Question

Apply the Property of Negative Integer Exponents to generate an expression equivalent to 7^−3⋅7^−5.

with positive exponents only.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To apply the Property of Negative Integer Exponents, we can rewrite each negative exponent as a positive exponent by taking the reciprocal of the base.

So, for 7^(-3), we can rewrite it as 1/7^3.
Similarly, for 7^(-5), we can rewrite it as 1/7^5.

Thus, the expression 7^(-3) * 7^(-5) is equivalent to (1/7^3) * (1/7^5).

Now, to simplify this expression, we can multiply the numerators and multiply the denominators:

(1/7^3) * (1/7^5) = (1 * 1) / (7^3 * 7^5) = 1 / 7^(3+5) = 1 / 7^8.

So, the expression equivalent to 7^(-3) * 7^(-5) with positive exponents only is 1/7^8.