Answer
$\frac{2}{b^{7}}$
Work Step by Step
Group factors with the same base: $$\frac{14b^{7}}{7b^{14}}$$
$$=(\frac{14}{7})(\frac{b^{7}}{b^{14}})$$
When dividing factors with the same non-zero base, subtract the exponent of the denominator from the exponent of the numerator:
$$=2b^{(7-14)}$$
$$=2b^{(-7)}$$
Write as a fraction and move the base with the negative exponent to the other side of the fraction and make the exponent positive:
$$=\frac{2}{b^{7}}$$
