7.5 ­ Rational Exponents and Radicals.notebook
November 12, 2015
Section 7.5
Rational Exponents and Radicals
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7.5 ­ Rational Exponents and Radicals.notebook
November 12, 2015
I. Notation
A radical expression contains a radical symbol and index
number or a rational (fraction) exponent.
A. Radical Notation
square root
The only one without
an index number.
cube root
fourth root
fifth root
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7.5 ­ Rational Exponents and Radicals.notebook
November 12, 2015
II. Simplify Radicals
Examples:
1.
2.
3
7.5 ­ Rational Exponents and Radicals.notebook
3.
November 12, 2015
4.
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7.5 ­ Rational Exponents and Radicals.notebook
November 12, 2015
III. Exponential Notation
1.
2.
(index number becomes the denominator
on the exponent)
(exponent becomes the numerator)
Examples: Rewrite from radical to exponential and vice versa.
=
=
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7.5 ­ Rational Exponents and Radicals.notebook
November 12, 2015
IV. Evaluate Exponential Notation
Examples:
=
=
=
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