Warm Up. HW Check Exponents Be sure to use these vocabulary words when referring to problems in this section!

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Presentation transcript:

Warm Up

HW Check

Exponents

Be sure to use these vocabulary words when referring to problems in this section!

In your notebook write 1 – 2 complete sentences explaining how to simplify 2 3 Be prepared to share!

Super Base Super Base – You Tube Video Pay attention to all the properties of exponents from this video!

Adding & Subtracting Monomials COMBINE LIKE TERMS!! The exponents do NOT change!

Product Rule: Multiplying exponential expressions with like bases: When multiplying exponential expressions with like bases, you should _____________ the exponents.

Power Rule: Raising a power to a power When raising an exponential expression to a power, you should __________________ the exponents.

Quotient Rule: Dividing exponential expressions with like bases When dividing exponential expressions with like bases, you should _______________ the exponents.

Negative Exponent Rule: What if we had more in the denominator than the numerator? So the rule still applies, we just now know what a negative exponent means.

So what is….

Roots The square root of a number is a value that, when multiplied by itself, gives the number. Example: 4 × 4 = 16, so the square root of 16 is 4. Another example: √36 = 6 (because 6 x 6 = 36) Did you know that it is called SQUARE ROOT because there is an understood two outside of the radical… This number is called the INDEX

Third root… (cubed root) Fourth Root… The cube root of a number is a special value that, when used in a multiplication three times, gives that number. Example: 3 × 3 × 3 = 27, so the cube root of 27 is 3.

In your pairs match the following… Check using your calculator!

What do you notice about the index and the denominator in the fractions? So what does x 1/n mean?

Therefore rewrite these EXPONENTIAL EXPRESSIONS as RATIONAL EXPRESSIONS

Now rewrite these RATIONAL EXPRESSIONS as EXPONENTIAL EXPRESSIONS

Coming up… *** HW tonight - Unit 1 Review Sheet *** Unit 1 TEST – Wednesday, September 11 th Tutoring tomorrow from 3:15 – 4:15!