Factor common terms from the numerator and denominator to generate an equivalent expression in lowest terms.
Write each expression in radical form using the rule x^{\frac{a}{b}}=(\sqrt[b]{x})^{a}
Write each expression as an integer raised to a rational power using the rule x^{\frac{a}{b}}=(\sqrt[b]{x})^{a}
Evaluate the expression. Your answer may be a plain number or might include a variable.
\frac{27}{27x+18}
\frac{4n-4}{6n-20}
7^\frac{1}{2}
4^\frac{4}{3}
6^\frac{3}{2}
(5x)^{-\frac{5}{4}}
a^\frac{6}{5}
(\sqrt{10})^3
\sqrt[6]{2}
(\sqrt[4]{2})^5
36^\frac{3}{2}
(x^6)^\frac{1}{2}
(9n^4)^\frac{1}{2}
BONUS:
(64n^{12})^{-\frac{1}{6}}