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anonymous

  • 5 years ago

Use the properties of exponents to simplify the expression. Write the answer in scientific notation. (5x10^6)(6x10^-5) all divided by (4x10^8)

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  1. anonymous
    • 5 years ago
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    www.math.com/tables/algebra/exponents.htm try take a look of the site. u may learn more about the exponent properties.

  2. anonymous
    • 5 years ago
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    i dont understand how to do this problem

  3. anonymous
    • 5 years ago
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    first: if u have (a*x^b)(c*x^d), this equal to (a*c)x^(b+d)

  4. anonymous
    • 5 years ago
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    so, consider the top part first, change x=10,a=5,b=6,c=6,d=-5 u got me so far?

  5. anonymous
    • 5 years ago
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    even though its scientific notation i can still do it like this?

  6. anonymous
    • 5 years ago
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    scientific notation like what?

  7. anonymous
    • 5 years ago
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    well its all written in scientific notation. but if i just see it like an exponent problem i can do it like this right?

  8. anonymous
    • 5 years ago
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    yes. i used a,b,c,d,x as arbitrary. thats in general. u just have to subtitute them with numbers according to the questions.

  9. anonymous
    • 5 years ago
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    okay so i did all that. then what should i do?

  10. anonymous
    • 5 years ago
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    just to make sure, ur question is \[(5\times 10^{6})(6 \times 10^{-5}) / (4 \times 10^{8})\] am i right?

  11. anonymous
    • 5 years ago
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    yes

  12. anonymous
    • 5 years ago
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    for upper part: u wil have 30*10. but 30=3*10 therefore, 30*10= 3*10*10= 3*10^2 then, use this: if u have (a*x^b)/(c*x^d), this equal to (a/c)x^(b-d) for (3*10^2)/(4*10^8)

  13. anonymous
    • 5 years ago
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    the answer should be 7.5 * 10^(-7)

  14. anonymous
    • 5 years ago
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    how -7? isnt it 2-8?

  15. anonymous
    • 5 years ago
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    because 3/4=0.75= 7.5 * 10^(-1)

  16. anonymous
    • 5 years ago
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    ohhh i get it. thank you so much!

  17. anonymous
    • 5 years ago
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    no problem. im not simply give u the answer straight away so u can learn how to do exponent problems on your own.

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