help 指數定律練習 f.3

1.(x^2 y^-2)(2x/y^3)^2
=x^2 y^-2 4x^2/y^6
=4x^4/y^8

2.(2p^-2 q^4/-p)^3
=8p^-6 q^12/-p^3
=-8q^12/p^9

3.(a^2 b^-1)^3/(ab^-3)^-2
=a^6 b^-3 / a^-2 b^6
=a^8/b^9

4.(2h/k^2)^-2(h^-3 k)^-1/(2k)^0
=2^-2 h^-2 h^3 k^-1/k^-4
=hk^3/4

5.(-5c^4/c^-3)^2
=25c^8/c^-6
=25c^14

6.x^-5(-x^6)^0/x^-3
=x^3/x^5
=1/x^2

1.
(x^2 y^-2) 乘(2x over y^3)^2
=(x^2/y^2)(4x^2/y^6)
=(4x^4)/(y^8)

2.
(2p^-2 q^4 over -p)^3
=(8p^-6q^12)/(-p^3)
=-(8q^12)/(p^9)

3.
(a^2 b^-1)^3 over (ab^-3)-2
=(a^4)/(b^9)

4.
(2h over k^2)^-2 乘 (h^-3 k)^-1 over (2k)^0
=[(k^4)/(4h^2)][(h^3)/k]
=(hk^3)/4

5.
(-5c^4 over c^-3)^2
=(-5c^7)^2
=25c^14

6.
x^-5 乘 (-x^6)^0 over x^-3
=1/x^2