Expressing Radicals as Exponents

Practice Questions

High School Math › Expressing Radicals as Exponents

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1

Convert the radical to exponential notation.

$\small \sqrt[4]{13}$

2

Which fraction is equivalent to $\frac{x^{\frac{5}{2}}}{x^{\frac{1}{2}}+y^{\frac{1}{2}}}$ ?

3

Choose the fraction equivalent to $\frac{x^{\frac{1}{2}}-y^{\frac{1}{2}}}{x^{\frac{1}{2}}+y^{\frac{1}{2}}}$ .

4

Simplify: $(\frac{2^4a}{a^2b^{-1}})^{\frac{-1}{2}}$

5

Express the following exponent in radical form:

$r^2s^{\frac{1}{3}}y^{\frac{1}{2}}$

6

Simplify the following radical expression using exponents. Express the final answer in radical form.

$\sqrt[6]{8n^9}$

7

Express the following exponent in radical form:

$(3x)^{\frac{1}{2}}x^{\frac{1}{4}}$

8

Express the following radical in rational (exponential) form:

$\sqrt{8x^3y^4}$

9

Express the following radical in rational (exponential) form:

$\sqrt[3]{16x^5y^6z^8}$

10

Simplify the following radical. Express in rational (exponential) form.

$\frac{x^{\frac{2}{3}}}{x^{\frac{2}{3}}-x^{\frac{-1}{3}}}$

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