apply the property of negative integer exponents to generate an expression equivalent to 3^-17/8^-14 with positive positive exponents only
To apply the property of negative integer exponents, we can use the fact that a negative exponent can be rewritten as the reciprocal of the positive exponent.
Therefore, we have:
3^(-17) / 8^(-14)
By applying the property of negative exponents, we can rewrite this expression as:
1 / (3^17) ÷ 1 / (8^14)
Next, we can use the property of dividing fractions by multiplying the numerator by the reciprocal of the denominator. This gives us:
(1 / (3^17)) * (1 / (1 / (8^14)))
Multiplying by the reciprocal of the denominator is the same as multiplying by the denominator's numerator:
(1 / (3^17)) * (8^14 / 1)
Simplifying further:
8^14 / 3^17