math s quick help1

👨🏻‍🏫 學術台數學

用戶10457

2010-11-19 8:48 pm

Quesion1(4 marks)
Simplify the following in terms of
positive indices.
a.6^-2(a^4b^2)/(3a^2b^-1)^-3
b.(4n^2)(m^-2a)^4/(3a^3)(5m^3n^-2)^2

更新1:

Please answer in english Please write the step and round your answer in 2d.p.(如果個answer的小數點後的數字是一樣) 如果如果個answer的小數點後的數字是不一樣,直接寫出來

回答 (1)

ShikaP

2010-11-19 9:25 pm

✔ 最佳答案

Simplify the following in terms of positive indices.
a.6^-2(a^4b^2)/(3a^2b^-1)^-3
b.(4n^2)(m^-2a)^4/(3a^3)(5m^3n^-2)^2
SOL
[6^-2(a^4*b^2)^4]/(3a^2*b^-1)^-3
=[a^16*b^16*27a^6]/[36*b^3]
=(3a^22*3b^13)/4
(4n^2)(m^-2*a)^4/(3a^3)(5m^3*n^-2)^2
=[(4n^2)*(n^4)*a]/[(m^8)(3a^3)(25m^6)]
=(4n^6*a)/(25m^14*3a^3)
=4n^6/[75(m^14*a^2)]

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