WARM-UP

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8.6 PRACTICE SOLUTIONS(14-33 EVEN)

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16) 1

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20) 1

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CLEAR UP A FEW THINGS

• If the problem is given to you with rational exponents, your answer can and should contain rational exponents.

• Rationalizing denominator with rational exponents:

SOLVING EQUATIONS WITH RATIONAL EXPONENTS

TO SOLVE EQUATIONS WITH RATIONAL EXPONENTS YOU NEED TO…

• Isolate the variable• To undo a rational exponent, raise both sides of the equation by the

reciprocal of that rational exponent.

• REMINDERS:• You CAN’T take the square root of a negative number.• You CAN take the cube root of a negative number• When you take a square root of a number, you need to consider both positive

and negative values.• If the number isn’t a perfect square or cube, leave it in its radical form for a

more exact answer.

• Check Solution.

EXAMPLE 1:SOLVE FOR X

4 𝑥23−5=11

EXAMPLE 2:SOLVE FOR X

EXAMPLE 3:SOLVE FOR X

EXAMPLE 4:SOLVE FOR X

𝑥14=5

12

EXAMPLE 5:SOLVE FOR X

EXAMPLE 6:SOLVE FOR X

(𝑥−3 )23+9=0

HOMEWORK

Worksheet #20