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#19 Understanding Rational Exponents and Radicals due 10/9/2020

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#19 Understanding Rational Exponents and Radicals due 10/9/2020

Essential Question: How do you simplify expression that contain exponents and radicals?

Learning Target: Students will explore how radicals and exponents are related and apply that knowledge to simplify expressions containing exponents and radicals to solve real world problems.


Complete the entire document and show all work for full credit.

Tuesday 10/6/20

Part 1: Integer Exponents

Question 1
1.

Notes: Understanding integer exponents

Fill in the blanks:

Exponents: Zero and Negatives

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Thursday 10/8/20

Part 2: Rational Exponents

Review

Question 16
16.

Match the exponents and radical to their matching expressions

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Question 17
17.

Match the exponents and radical to their matching expressions

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Question 18
18.

Notes: Simplifying Numerical Expressions with Rational Exponents

Here is a calculator to help you with the next set of problems:
https://www.desmos.com/scientific

Or you could use the calculator below
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Question 29
29.

Problem 4 Got It? A population of insects triples every week. The number of insects is modeled by the expression below, where w is the number of weeks after the population is measured.
Evaluate the expression for w = -2, w = 0, and w = 1. Match the weeks below with their related populations. Not all populations will be used.

  • w = -2
  • w = 0
  • w = 1
Question 2
2.

Simplify. Your answer should not have negative exponents.

Question 3
3.

Simplify. Your answer should not have negative exponents.

Question 4
4.

Simplify. Your answer should not have negative exponents.

Question 5
5.

Simplify. Your answer should not have negative exponents.

Question 6
6.

Simplify. Your answer should not have negative exponents.

Question 7
7.

Simplify. Your answer should not have negative exponents.

Question 8
8.

Simplify. Your answer should not have negative exponents.

Question 9
9.

Simplify. Your answer should not have negative exponents.

Question 10
10.

Simplify. Your answer should not have negative exponents.

Question 11
11.

Simplify. Your answer should not have negative exponents.

Question 12
12.

Simplify. Your answer should not have negative exponents.

Question 13
13.

Simplify. Your answer should not have negative exponents.

Question 14
14.

Simplify. Your answer should not have negative exponents.

Question 15
15.

Simplify. Your answer should not have negative exponents.

Question 19
19.

Evaluate the expression. (This means rewrite the expression with a positive exponent)

Question 20
20.

Evaluate the expression. (This means rewrite the expression with a positive exponent)

Question 21
21.

Evaluate the expression. (This means rewrite the expression with a positive exponent)

Question 22
22.

Evaluate the expression. (This means rewrite the expression with a positive exponent)

Question 23
23.

Evaluate the expression. (This means rewrite the expression with a positive exponent)

Question 24
24.

Evaluate the expression. (This means rewrite the expression with a positive exponent)

Question 25
25.

Find the root(s) and simplify the expression. (This means rewrite the expression as a root. If there is a + or - then use a calculator to simplify it round to the nearest hundredth.)

Question 26
26.

Find the root(s) and simplify the expression. (This means rewrite the expression as a root. If there is a + or - then use a calculator to simplify it round to the nearest hundredth.)

Question 27
27.

Find the root(s) and simplify the expression. (This means rewrite the expression as a root. If there is a + or - then use a calculator to simplify it round to the nearest hundredth.)

Question 28
28.

Find the root(s) and simplify the expression. (This means rewrite the expression as a root. If there is a + or - then use a calculator to simplify it round to the nearest hundredth.)

400 insects
600 insects
5400 insects
6800 insects
16,200 insects