化解代數式

1.
p^4 * p^2
= p^(4 + 2)
= p^6


2.
q^6 * q^3
= q^(6 + 3)
= q^9


3.
r^5 / r^3
= r^(5 - 3)
= r^2


4.
s^6/s^2
= s^(6 - 2)
= s^4


5.
(t^3)^2
= t^(3 * 2)
= t^6


6.
(u^2)^4
= u^(2 * 4)
= u^8


7.
(v / w)^3
= v^3/ w^3


8.
(x / y)^5
= x^5/ y^5


9.
(a^0)^-5
= (1)^-5
= 1


10.
(b^2)^-3
= b^[2 * (-3)]
= b^-6
= 1 / b^6


11.
(c^-8)^-1
= c^[(-8) * (-1)]
= c^8


12.
(de)^-5
= 1 / (de)^5
= 1 / (d^5 e^5)


13.
(g^-3 h^0)^-1
= (g^-3)^-1
= g^[(-3) * (-1)]
= g^3


14.
p^6 / p^-2
= p^[6 - (-2)]
= p^8


15.
q^-4 / q^-5
= q^[(-4) - (-5)]
= q^1
= q


16.
(r^0 / s^7)^-2
= (1 / s^7)^-2
= (s^-7)^-2
= s^[(-7) * (-2)]
= s^14


17.
(w^2)^0 * w^2
= 1 * w^2
= w^2


18.
(a^2 c)^-1 / a^-3
= (a^-2 c^-1) / a^-3
= a^[(-2) - (-3)] c^-1
= a^1 c^-1
= a / c


19.
a^(1/3) * a^(3/4)
= a^[(1/3) + (3/4)]
= a^[(4/12) + (9/12)]
= a^(13/12)


20.
a^3 / a^(1/2)
= a^[3 - (1/2)]
= a^[(6/2) - (1/2)]
= a^(5/2)


21.
3 a^(5/2) / a^(4/3)
= 3 a^[(5/2) - (4/3)]
= 3 a^[(15/6) - (8/6)]
= 3 a^(7/6)

22.
[a^(1/3)]^(9/5)
= a^[(1/3) * (9/5)]
= a^(3/5)


23.
(ab^-3)^(1/6)
= a^(1/6) b^[(-3) * (1/6)]
= a^(1/6) b^(-1/2)
= a(1/6) / b^(1/2)


24.
[a^(2/3)]^(9/8) / a^(-3/4)
= a^[(2/3) x (9/8)] / a^(-3/4)
= a^(3/4) / a^(-3/4)
= a^[(3/4) - (-3/4)]
= a^(3/2)

1.
p^4*p^2
=p^6

2.
q^6*q^3
=q^9

3.
r^5/r^3
=r^2

4.
s^6/s^2
=s^4

5.
(t^3)^2
=t^6

6.
(u^2)^4
=u^8

7.
(v/w)^3
=v^3/w^3

8.
(x/y)^5
=x^5/y^5

9.
(a^0)^-5
=1

10.
(b^2)^-3
=b^-6
=1/b^6

11.
(c^-8)^-1
=c^8

12.
(de)^-5
=1/(d^5e^5)

13.
(g^-3 h^0)^-1
=g^4

14.
p^6/p^-2
=p^8

15.
q^-4/q^-5
=q

16.
(r^0/s^7)^-2
=s^14

17.
(w^2)^0*w^2
=w^2

18.
(a^2 c)^-1 /a^-3
=(a^-2)(c^-1)/a^-3
=a/c

19.
a^1/3 *a^3/4
=a^13/12

20.
a^3/a^1/2
=a^5/2

21.
3a^5/2 / a^4/3
=3(a^7/6)

22.
(a^1/3)^9/5
=a^3/5

23.
(ab^-3)^1/6
=(a^1/6)/(b^1/2)

24.
(a^2/3)^9/8 / a^-3/4
=(a^3/4)/(a^-3/4)
=a^3/2