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Biblioteka

Intro to Rational Exponents

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Posljednje ažuriranje about 3 years ago
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Today you're going to learn how to evaluate exponents that are fractions. For example:

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Example similar to #22:

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First, let's review the properties of exponents you learned last class:

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Forgot everything from last class? No worries! Watch the 3 min video above to see examples similar to #1-6.

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Simplify:

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Simplify:

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Evaluate:

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Evaluate:

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Simplify:

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Multiply:

Write your answer as a reduced fraction!

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Multiply:

Write your answer as a reduced fraction!

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What is the exponent on this number: 7

Hint: it's invisible!

Every number or variable has an invisible exponent of 1.

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So we can say... x^{\frac{1}{2}}=\sqrt{x}​

But why?? Let's recall the definition of square root:

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If we look REALLY CLOSE at the \sqrt{x} we'll start to see its invisible numbers...

Not only does it have an invisible exponent of 1 but there's also a 2 in the corner of the radical!

Using this pattern, select the true equation below.

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To type the cube root symbol \sqrt[3]{} in your calculator, click:

MATH -> 4: \sqrt[3]{}

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Hint: use the cube root symbol in your calculator to evaluate.

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Check out the difference between the examples below:

*It will always be easier to evaluate the radical first, then the exponent at the end.

Now you try:

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Copy this in your notes:

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Now you try!

No decimals!

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No decimals!

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Hint: Think (?)^ 4=81

Or to use your calculator, type 4 -> MATH -> 5: \sqrt[x]{}

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