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RADICALS AND RATIONAL EXPONENTS WORKSHEET #2

REVIEW: nth Root: If , then b is the root of a. This is written. n is called the index of the radical. a is called the radicand. Roots as Rational Exponents: The root,, can be written as an exponent . - Notice the placement of the m and n. The root index is the denominator and the exponent is the numerator.

Simplify.

1) 2) 3)

4) If , a) Find f(-2) b) Find the domain of f(x)

Evaluate.

5) 6) 7)

Write in exponential form.

8) 9)

Write as a radical expression with a smaller index.

10) 11)

Simplify.

12) 13) 14)

Use laws of exponents, reduce fractions, and write answers in simplified radical form.


13)

14)

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Use laws of exponents, reduce fractions, and write answers in simplified radical form.


16)

17)

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Simplify.

27) 28) 29)

30) 31) 32)

33)