anonymous
  • anonymous
Use the properties of exponents to simplify the expression. Write the answer in scientific notation. (5x10^6)(6x10^-5) all divided by (4x10^8)
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
www.math.com/tables/algebra/exponents.htm try take a look of the site. u may learn more about the exponent properties.
anonymous
  • anonymous
i dont understand how to do this problem
anonymous
  • anonymous
first: if u have (a*x^b)(c*x^d), this equal to (a*c)x^(b+d)

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anonymous
  • anonymous
so, consider the top part first, change x=10,a=5,b=6,c=6,d=-5 u got me so far?
anonymous
  • anonymous
even though its scientific notation i can still do it like this?
anonymous
  • anonymous
scientific notation like what?
anonymous
  • anonymous
well its all written in scientific notation. but if i just see it like an exponent problem i can do it like this right?
anonymous
  • anonymous
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.
anonymous
  • anonymous
okay so i did all that. then what should i do?
anonymous
  • anonymous
just to make sure, ur question is \[(5\times 10^{6})(6 \times 10^{-5}) / (4 \times 10^{8})\] am i right?
anonymous
  • anonymous
yes
anonymous
  • anonymous
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)
anonymous
  • anonymous
the answer should be 7.5 * 10^(-7)
anonymous
  • anonymous
how -7? isnt it 2-8?
anonymous
  • anonymous
because 3/4=0.75= 7.5 * 10^(-1)
anonymous
  • anonymous
ohhh i get it. thank you so much!
anonymous
  • anonymous
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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