Rational Exponent Form

Lesson

 

Notes

 

Rational Exponent Form & Radical Form
\(\displaystyle x^{a/b} = \sqrt[b]{x^a} = \left(\sqrt[b]{x}\right)^a\)

 

 

Practice Problems & Videos

\(\textbf{1)}\) Express \(\sqrt[3]{x^2}\) in Rational Exponent Form

 

\(\textbf{2)}\) Express \(\sqrt[5]{2^3}\) in Rational Exponent Form

 

\(\textbf{3)}\) Express \(\sqrt[4]{3.1^7}\) in Rational Exponent Form

 

\(\textbf{4)}\) Express \(\sqrt[5]{x^3}\) in Rational Exponent Form

 

\(\textbf{5)}\) Express \(\displaystyle z^{1/7}\) in Radical Form

 

\(\textbf{6)}\) Express \(\displaystyle 5^{5/2}\) in Radical Form

 

\(\textbf{7)}\) Express \(\displaystyle 4.2^{3/4}\) in Radical Form

 

\(\textbf{8)}\) Express \(\displaystyle x^{1/4}\) in Radical Form Link to Youtube Video Solving Question Number 8

 

\(\textbf{9)}\) Express \(\displaystyle x^{2/3}\) in Radical Form

 

\(\textbf{10)}\) Express \(\displaystyle 3^{4/5}\) in Radical Form

 

See Related Pages\(\)

\(\bullet\text{ Intro to Exponents}\)
\(\,\,\,\,\,\,\,\,3^2=3 \times 3 =9\)
\(\bullet\text{ Negative Exponents}\)
\(\,\,\,\,\,\,\,\,3^{-2}=\frac{1}{9}\)
\(\bullet\text{ Rational Exponents}\)
\(\,\,\,\,\,\,\,\,\displaystyle x^{a/b}=\sqrt[b]{x^a}\)

Scroll to Top