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Laabri

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

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29 Nsɛmmisa

Tuesday 10/6/20

Part 1: Integer Exponents

20

Exponents: Zero and Negatives

Thursday 10/8/20

Part 2: Rational Exponents

Review

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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.

Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Notes: Understanding integer exponents

Fill in the blanks:

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Asemmisa {{asɛmmisaAhyɛnsode}}
16.

Match the exponents and radical to their matching expressions

Draggable itemarrow_right_altCorresponding Item

arrow_right_alt

arrow_right_alt

arrow_right_alt

arrow_right_alt

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Asemmisa {{asɛmmisaAhyɛnsode}}
17.

Match the exponents and radical to their matching expressions

Draggable itemarrow_right_altCorresponding Item

arrow_right_alt

arrow_right_alt

arrow_right_alt

arrow_right_alt

arrow_right_alt

Asemmisa {{asɛmmisaAhyɛnsode}}
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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Asemmisa {{asɛmmisaAhyɛnsode}}
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

  • 400 insects

  • 600 insects

  • 5400 insects

  • 6800 insects

  • 16,200 insects

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Simplify. Your answer should not have negative exponents.

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3.

Simplify. Your answer should not have negative exponents.

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4.

Simplify. Your answer should not have negative exponents.

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Simplify. Your answer should not have negative exponents.

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Simplify. Your answer should not have negative exponents.

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Simplify. Your answer should not have negative exponents.

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

Simplify. Your answer should not have negative exponents.

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

Simplify. Your answer should not have negative exponents.

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

Simplify. Your answer should not have negative exponents.

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

Simplify. Your answer should not have negative exponents.

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

Simplify. Your answer should not have negative exponents.

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

Simplify. Your answer should not have negative exponents.

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

Simplify. Your answer should not have negative exponents.

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

Simplify. Your answer should not have negative exponents.

Asemmisa {{asɛmmisaAhyɛnsode}}
19.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
21.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
22.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
23.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
24.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
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.)

Asemmisa {{asɛmmisaAhyɛnsode}}
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.)

Asemmisa {{asɛmmisaAhyɛnsode}}
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.)

Asemmisa {{asɛmmisaAhyɛnsode}}
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.)