Answer
$$81y^2$$
Work Step by Step
We evaluate the exponents first. To evaluate the exponents, we use the power rule to rewrite the exponents in the numerator:
$$\frac{(3^4)y^{(3)(4)}}{y^{10}}$$
We simplify the fraction:
$$\frac{81y^{12}}{y^{10}}$$
We now use the quotient rule, which says that when we divide powers, we can subtract the power of the denominator from the power of the numerator, provided they both have the same base:
$$81y^{12-10}$$
Simplify:
$$81y^2$$