Rewriting Radicals to Rational Exponents: Examples and Solutions

Learn how to rewrite radicals to have rational exponents through clear explanations and worked examples. Discover the relationship between powers and roots, and improve your understanding of radicals with rational exponents.

• Radicals
• Rational Exponents
• Rewrite
• Mathematics
• Exponentiation

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Uploaded on Oct 07, 2024 | 0 Views

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Presentation Transcript

1. REWRITING A RADICAL TO HAVE A RATIONAL EXPONENT

2. Rewriting Radicals to Rational Exponents power root ( ) power radicand radicand = root Power is on top Roots are in the ground

3. Rewrite with a Rational Exponent 1 2 ( ) 5. 10 w 10 w =

4. Rewrite with a Rational Exponent 1 3 ( ) 6. 7 p 3 7 p =

5. Rewrite with a Rational Exponent ( ) 5 2 5 7. 17 17 =

6. Rewrite with a Rational Exponent ( ) 2 8 y2 8. 8 y = 1 4 y =

7. Rewrite with a Rational Exponent ( ) 6 3 3 6 9. z z z = = 2