Opener 2. Give an explanation for step 2.

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Presentation transcript:

Opener 2. Give an explanation for step 2. 1. Simplify the exponential expression 2. Give an explanation for step 2. simplify Prime factor the radicand 1. 2. 3. Simplify

Opener 1. Simplify the exponential expression

Opener 2. Give an explanation for step 2. Simplify simplify Prime factor the radicand 1. 2. 3. Simplify

HW ?'s

Essential Question Learning Objective How do you define a number raised to a half or third power? I will explain how a rational exponent is defined in radical terms.

d The relationship between the duration of a satellite's orbit and its distance from the center of the earth is given by the equation: d

Defining Rational  Exponents

Key Terms: Equivalent - expressions that represent the same "thing"

Are these expressions equivalent? (yes/no) these expressions are equivalent because...

Are these expressions equivalent? (yes/no) these expressions are equivalent because...

(xxx) (xxx) (xxx) (xxx)

Are these expressions equivalent? You will be expected to be able to explain this. Are these expressions equivalent?

Teach your partner: Imagine that your partner was absent and it is your job to teach  them what they missed.

Teach your partner: 1st Explain why Imagine that your partner was absent and it is your job to teach  them what they missed. Explain why 1st

Teach your partner: Imagine that your partner was absent and it is your job to teach  them what they missed. 2nd

Teach your partner: 3rd Think of a plan for how you will explain Imagine that your partner was absent and it is your job to teach  them what they missed. Think of a plan for how you will explain this concept. 3rd

Teach your partner: 4th Teach your partner. Imagine that your partner was absent and it is your job to teach  them what they missed. Teach your partner. 4th Listening task: did your partner explain it the same way you would? did they leave something out?

Think / Write / Share Why do you need to know the "power of  a power rule for exponents" for the  definition? Red Why do you need to know that roots  and powers are inverse operations for  the definition? Blue THINK WRITE SHARE Sent. Starter: "You need to know _____ because..."

1. 2. 3. Closure Match the explanation to its corresponding steps. Explain why . Closure Match the explanation to its corresponding steps. a) Using the "powers of powers"  rule, if you square x to the half  power, you will multiply one-half  and two to get a product of one. x  to the first power is x. 1. 2. 3. b) Since both expressions reduce to x when you square them, they must be  equivalent. c) If you square the square root of  x, you get x because they are  inverse operations.

Essential Question Learning Objective How do you define a number raised to a  half or third power? I will explain how a rational exponent is defined in radical terms.

HW Math II Rational Exp PDF