Rational exponents activity - Free Printable

Educational worksheet: Rational exponents activity. Download and print for classroom or home learning activities.

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- $64^{\frac{1}{2}}$: Radical Form: $\sqrt{64}$, Simplified: $8$
- $(-64)^{\frac{1}{3}}$: Radical Form: $\sqrt[3]{-64}$, Simplified: $-4$
- $(-64)^{\frac{1}{2}}$: Radical Form: $\sqrt{-64}$, Simplified: Not a real number
- $32^{\frac{1}{5}}$: Radical Form: $\sqrt[5]{32}$, Simplified: $2$
- $16^{\frac{3}{4}}$: Radical Form: $\sqrt[4]{16^3}$, Simplified: $8$
- $\left(\frac{100}{9}\right)^{-\frac{3}{2}}$: Radical Form: $\frac{1}{\sqrt{\left(\frac{100}{9}\right)^3}}$, Simplified: $\frac{27}{1000}$
- $-27^{-\frac{4}{3}}$: Radical Form: $-\frac{1}{\sqrt[3]{27^4}}$, Simplified: $-\frac{1}{81}$
- $49^{-\frac{3}{2}}$: Radical Form: $\frac{1}{\sqrt{49^3}}$, Simplified: $\frac{1}{343}$

Parent Tip: Review the logic above to help your child master the concept of simplifying rational exponents worksheet.

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