Question

Apply the property of negative integer exponents to generate an expression equivalent to 3 ^ -17 over 8 ^ -14 with positive exponents only.

Answer 1

To apply the property of negative integer exponents, we can rewrite the given expression by moving the terms with negative exponents to the denominator and changing the sign of the exponents.

So, the expression 3^-17 / 8^-14 can be rewritten as (1/3^17) / (1/8^14).

Next, we can simplify this expression by dividing 1 by each term.

(1/3^17) / (1/8^14) = (8^14 / 3^17).

Finally, to write the expression with positive exponents only, we can rearrange the terms as follows:
(8^14 / 3^17) = (8^14 * 1/3^17) = (8^14 * 3^-17).