Converting between radicals and rational exponents worksheets Grade 10

How to do it

x to the m/n is the nth root of xᵐ. Write each one the other way.

Example problems

1. $\dfrac{1}{\sqrt[4]{x^{3}}} =$$x^{-\dfrac{3}{4}}$Show answer
2. $\sqrt[5]{x^{3}} =$$x^{\dfrac{3}{5}}$Show answer
3. $\sqrt[3]{x^{2}} =$$x^{\dfrac{2}{3}}$Show answer
4. $\dfrac{1}{\sqrt[3]{x}} =$$x^{-\dfrac{1}{3}}$Show answer

Exponents, radicals and complex numbers

1. Zero and negative exponents
2. Rational exponents
3. Converting between radicals and rational exponents
4. Exponent rules with rational exponents
5. Simplifying cube roots and higher roots
6. Rationalizing the denominator
7. Solving radical equations
8. Imaginary numbers and powers of i
9. Adding, subtracting and multiplying complex numbers
10. Dividing complex numbers