# Thread: Algebra 2: Square Root, Etc.

1. ## Algebra 2: Square Root, Etc.

Simplify. Assume that no variable equals 0. (1-18)

1) n^5 • n^2 = n^7

2) y^7 • y^3 • y^2 = y^12

3) t^9 • t^-8

4) x^-4 • x^-4 • x^4

5) (2f^4)^6

6) (-2b^-2 • c^3)^3

7) (4d^2 • t^5 • v^-4) • (-5dt^-3 • v^-1)

8) 8u(2z)^3

9) [12m^8 • y^6] / [-9my^4]

10) [-6s^5 • x^3] / [18sx^7]

11) [-27x^3(-x^7)] / [16x^4]

12) (2 / 3r^2 • s^3 • z^6)^2

13) -(4w^-3 • z^-5)(8w)^2

14) (m^4 • n^6)^4 • (m^3 • n^2 • p^5)^6

15) (3/2d^2 • f^4) ^4 • (-4/3d^5 • f)^3

16) [(2x^3 • y^2] / [-x^2 • y^5) ^-2]

17) [(3x^-2 • y^3)(5xy^-8)] / [(x^-3) ^4 • y^-2]

18) [-20(m^2 • v)(-v) ^3] / [5(-v) ^2 • (-m^4)]

Express each number in scientific notation. (19-21)

19) 896,000

20) 0.000056

21) 433.7 • 10^8

Evaluate. Express the result in scientific notation. (22-24)

22) (4.8 • 10^2) • (6.9 • 10^4)

23) (3.7 • 10^9) • (8.7 • 10^2)

24) [2.7 •10^6] / [9 • 10^10]

25) Write this number in scientific notation: 4,295,000,000

26) Write the answer in scientific notation: 1.86 • 10^5

27)
A) 8 • 10^-7

B) 4.5 • 10^-7

Simplify. (1-24)

1) √24

2) √60

3) √108

4) √8 ∙ √6

5) √7 ∙ √14

6) 3√12 ∙ 5√6

7) 4√3 ∙ 3√18

8) √27su^3

9) √50p^5

10) √108x^6 ∙ y^4 ∙ z^5

11) √56m^2 ∙ n^4 ∙ o^5

12) √8 / √6

13) √2/10

14) √5/32

15) √3/4 ∙ √4/5

16) √1/7 ∙ √7/11

17) √3k/√8

18) √18/x^3

19) √4y/3y^2

20) √9ab/4ab^4

21) 3 / 5 - √2

22) 8 / 3 + √3

23) 5 / √7 + √3

24) 3√7 / -1 - √27

25) t = [√2(750)/9.8]

Use the information to answer 26 and 27.

To estimate how long a thunderstorm will last, meteorologists can use the formula: t = [√d^3/216], where t is the time in hours and d is the diameter of the storm in miles.

26) A thunderstorm is 8 miles in diameter. Estimate how long the storm will last. Give your answer in simplified form and as a decimal.

27) Will a thunderstorm twice this diameter last twice as long? Explain.

2. You have posted too many questions in the one thread. Also you have shown no attempts on these questions. This post is just ridiculous.

Originally Posted by Zachary1592
1) n^5 • n^2
With problems like this and others you have posted you just need to use simple index laws.

$a^m\times a^n = a^{m+n}$

Therefore

$n^2\times n^5 = n^{2+5} = n^7$

3. Thanks, but I'd like all the answers.

4. Originally Posted by Zachary1592
Thanks, but I'd like all the answers.
Math Help Forum is for helping people with their maths problems, not doing it for them.