Fractions raised by powers
Index and Roots of Fractional Expressions
Evaluate \(\bigl(\tfrac{a}{b}\bigr)^n\)
Rule: \(\bigl(\tfrac{a}{b}\bigr)^n = \tfrac{a^n}{b^n}\).
Example: \(\bigl(\tfrac{3}{2}\bigr)^2 = \tfrac{3^2}{2^2} = \tfrac{9}{4}\).
Evaluate \(\sqrt[n]{\tfrac{a}{b}}\)
Rule: \(\sqrt[n]{\tfrac{a}{b}} = \tfrac{\sqrt[n]{a}}{\sqrt[n]{b}}\).
Example: \(\sqrt[2]{\tfrac{9}{4}} = \tfrac{\sqrt{9}}{\sqrt{4}} = \tfrac{3}{2}\).
Test Your Fractional Expressions Knowledge
Question will appear here...
