Radicals and Rational Exponents

1
Radicals and Rational Exponents

• Unit 2, Part 2

2
A few rules

• Remember your exponent rules
• Multiplying powers means ADD EXPONENTS
• Power to a power means MULTIPLY EXPONENTS
• Negative exponents get flipped

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New Rules for radicals and exponents

• an x ? a nvx
• nv(xa) xa/n
• No negative exponents allowed!!

4
Practice Exercises

• Write these in radical form
• 1) a1/4 2) x2/5 3) (2x)-2/3

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Write Using Rational Exponents

• 1) 3vx 2) 8v(x3) 3) vy

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Evaluate the following

• 1) 16-1/4 2) 2433/5

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Simplify

• 1) x1/5? x7/5
• 2) (x1/2)2/5