Scribd
Upload
60 views1 page

5-2 Practice

The document contains additional practice problems for Algebra 2 focused on properties of exponents and radicals. It includes exercises for rewriting expressions, reducing radicals, and simplifying expressions. There are also multiplication problems and discussions regarding the values of variables in radical expressions.

Uploaded by

Zachary Nguyen
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
60 views1 page

5-2 Practice

The document contains additional practice problems for Algebra 2 focused on properties of exponents and radicals. It includes exercises for rewriting expressions, reducing radicals, and simplifying expressions. There are also multiplication problems and discussions regarding the values of variables in radical expressions.

Uploaded by

Zachary Nguyen
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
You are on page 1/ 1

Name ALGEBRA 2

SavvasRealize.com

5-2 Additional Practice


Properties of Exponents and Radicals

Rewrite each expression using the properties of exponents.


_
​  12 ​ _
3
​  ​
( ​64​​  ​ 6​)
_1 _1 2 _1 6
4 2. ​​3m​​  4 ​​​​​(​mn​​  3 )​​​  ​​
​  1 ​ 2 3. ​​2a​​  ​  2 ​​​​​​(​5a​​  ​  2 ​ ​b​​  ​  4 ​)​​​  ​​ 4. ​​​(​x​​  ​  3 ​​ · ​x​​  ​  9 ​​)​​​  ​​ ÷ ​​x​​  ​  3 ​​​
___ _
​  1 ​ _ _1 _1 _1
1. ​​​ ​  _5 ​ ​​​  ​​

How can you rewrite each _____


expression? ________
________ ________
5. ​​ √
3
125​x​​  9​​y​​  7​ ​​ √ 625a
4 5 3
​  ​a​​  ​​b​​  ​​
6. ​​ _____  ​​ 7. ​​ √
5
288​x​​  3​​y​​  7​ ​​ √
8. ​​ ________
3
4 5
​  297​m2​​  ​​n​​  ​​ ​​
3​m​​  ​n

What is the reduced radical form of each expression?


___ ___ _____ _____

√ 36x
___ 2 ____
​​(​√ ​4​​  5​ ​)​​​​(​√ ​5​​  5​ ​)​​
3
9. (​​​ ​√ 32 ​)​​​  ​​
4
10.
3 3
11. √​​ ​a​​  3​​b​​  5​ ​​ · 5​​√4ab ​​ ​  24​x​​  ​​ ​​
12. ​​ _____
3

How can you rewrite each expression in a simpler form?


3
_____ 3
__ 3
_____ ___ ____ ____
13. ​​ √ 3000 ​​ + ​​ √ 3 ​​ − ​​ √ 1029 ​​ ​​ 45 ​​ − ​​√180 ​​ − √
14. √ ​​ 720 ​​

Multiply.
__ __ ___ __ __
15. (x − √
​​ 8 ​​)(x + √
​​ 8 ​​) ​​ 12 ​​(√
16. √ ​​ 3 ​​ + ​​√6 ​​)

What is the reduced radical form of each expression?


__
√
​​  3 − ​ 7 ​
17. ______ __ ​​  −5x√__ ​​
​18. ______
3−√ ​ 5 ​ 3 − ​ x ​

___ __
​​ 50 ​​ + ​​√k ​​ can be written as a
19. Discuss the possible values of k such that √
single term.
___
20. Write ​​ √ ​  16
__ ​ ​​in
two different ways, one where the number is simplified and
7
another where the denominator is rationalized.
__ __
21. The length of a rectangle is (3 + ​​√7 ​​)m and its width is (1 + 2​​√7 ​​)n. What is the
area of the rectangle?

enVision® Florida Algebra 2 • Teaching Resources

You might also like