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Math Help - Algebra 2: Square Root, Etc.

  1. #1
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    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.
    Last edited by Zachary1592; December 7th 2009 at 04:15 PM.
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  2. #2
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    You have posted too many questions in the one thread. Also you have shown no attempts on these questions. This post is just ridiculous.


    Quote Originally Posted by Zachary1592 View Post
    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
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  3. #3
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    Thanks, but I'd like all the answers.
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  4. #4
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    Quote Originally Posted by Zachary1592 View Post
    Thanks, but I'd like all the answers.
    Math Help Forum is for helping people with their maths problems, not doing it for them.
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