Radicals and Fraction Exponents Lesson

Presentation

•

Mathematics

•

10th Grade

•

Hard

Joseph Anderson

FREE Resource

4 Slides • 6 Questions

Rational Exponents & Radicals

Important Vocabulary

Always has an invisible 2 on the outside unless told otherwise! This is called the "root".

2 = square root
3 = cubed root

Radical or "Square Root House"

Rational Exponents:

The numerator (top of the fraction) is the exponent on the inside of the "square root house"
The denominator (bottom of the fraction) is the root, which will be on the outside.

Multiple Choice

Change into radical form:

$16^{\frac{1}{3}}$

$\sqrt[3]{16}$

$\sqrt[1]{16^3}$

$\sqrt[16]{3}$

$\sqrt[]{16^3}$

Multiple Choice

Change into radical form:

$25^{\frac{1}{2}}$

$\frac{1}{25^2}$

$\sqrt[2]{25}$ or $\sqrt[]{25}$

Multiple Choice

Change into a rational exponent:

$\sqrt[3]{125}$

125³

125^1/3

5³

521

Multiple Choice

Change into a rational exponent:

$\sqrt[3]{5^2}$

5^2/3

5^3/2

Multiple Choice

Simplify into a whole number:

25^1/2

625

12.5

Multiple Choice

Simplify into a whole number:

16^1/2

256

Rational Exponents & Radicals

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