Apply the Property of Negative Integer Exponents to generate an expression equivalent to 3^−17/8^−14 with positive exponents only.
To apply the Property of Negative Integer Exponents, we can rewrite the expression as 1/(3^17 * 1/8^14).
Next, we can simplify 1/8^14 by applying the Property of Negative Exponents again.
1/8^14 = 1/(1/8^14) = 8^14.
Therefore, the expression can be written as 3^17 * 8^14, with positive exponents only.
To apply the property of negative exponents, we can rewrite the expression as follows:
3^(-17) / 8^(-14)
Using the property of negative exponents, we can flip the bases and change the signs of the exponents to make them positive:
(1/3^17) / (1/8^14)
Now, we can simplify this expression by multiplying the numerator and denominator by the reciprocal of the denominator:
(1/3^17) * (8^14/1)
Simplifying further, we get:
(8^14) / (3^17)
Therefore, the expression equivalent to 3^(-17) / 8^(-14) with positive exponents only is 8^14 / 3^17.