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(6.7x10^-5)(1.2x10^10)^2
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(8.1x10^-3)^11(2.5x10^2)
the anwser is 3.9x10^36 but i cant arrive at the anwser because i dont get what to do with the exponents on the outside of the brakets. thanks

2007-12-18 17:20:51 · 2 answers · asked by Anonymous in Science & Mathematics Mathematics

2 answers

Simplify the expression.
[(6.7*10^-5)(1.2*10^10)^2] / [(8.1*10^-3)^11(2.5*10^2)]

= {(6.7*1.2²) / [(8.1^11)(2.5)} {10^[-5 + 10*2 - (-3*11) - 2]}
= {(6.7*1.2²) / [(8.1^11)(2.5)} {10^[-5 + 20 + 33 - 2]}
= {3.9*10^(-10)} {10^46}
= 3.9 * 10^(-10 + 46)
= 3.9 * 10^36

2007-12-18 18:36:54 · answer #1 · answered by Northstar 7 · 0 0

(6.7x10^-5)(1.44x10^20)
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(9800000000x10^-33)(2.5x10^2)

9.6x10^15
---------------
(9.8x10^-24)(2.5x10^2)

9.6x10^15
---------------
24.5x10^-22

9.6/24.5 x 10^37

0.39 x 10^37

3.9 x 10^36

Hope this helps! :)

2007-12-18 17:32:18 · answer #2 · answered by disposable_hero_too 6 · 0 0

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