To apply the property of negative integer exponents, we have to reciprocate the base and change the sign of the exponent.
Therefore, 3^(-17) can be rewritten as 1/3^(17) and 8^(-14) can be rewritten as 1/8^(14).
Using these equivalences, the expression 3^(-17)/8^(-14) becomes:
(1/3^17)/(1/8^14)
When we divide by a fraction, we multiply by its reciprocal. So, we can rewrite the division as multiplication by the reciprocal:
(1/3^17) * (8^14/1)
Multiplying the numerators and denominators gives us:
(1 * 8^14) / (3^17 * 1)
Simplifying further, we have:
8^14 / 3^17
And that is the expression with positive exponents only.
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 3^−17/8^−14 with positive exponents only.
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