Answer: (51ab^2)/(20c)
STEP
1
:
Equation at the end of step 1
((17•(a3))•(b2)) ((18•(b4))•(c3))
————————————————•————————————————
((15•(b3))•(c2)) ((23a2•b)•c2)
STEP
2
:
Equation at the end of step
2
:
((17•(a3))•(b2)) ((2•32b4)•c3)
————————————————•—————————————
((15•(b3))•(c2)) 23a2bc2
STEP
3
:
(2•32b4c3)
Simplify ——————————
23a2bc2
Dividing exponential expressions :
3.1 b4 divided by b1 = b(4 - 1) = b3
Dividing exponential expressions :
3.2 c3 divided by c2 = c(3 - 2) = c1 = c
Dividing exponents:
3.3 21 divided by 23 = 2(1 - 3) = 2(-2) = 1/22
Equation at the end of step
3
:
((17•(a3))•(b2)) 9b3c
————————————————•————
((15•(b3))•(c2)) 4a2
STEP
4
:
Equation at the end of step
4
:
((17•(a3))•(b2)) 9b3c
————————————————•————
((3•5b3)•c2) 4a2
STEP
5
:
Equation at the end of step
5
:
(17a3 • b2) 9b3c
——————————— • ————
(3•5b3c2) 4a2
STEP
6
:
17a3b2
Simplify —————————
(3•5b3c2)
Dividing exponential expressions :
6.1 b2 divided by b3 = b(2 - 3) = b(-1) = 1/b1 = 1/b
Equation at the end of step
6
:
17a3 9b3c
————— • ————
15bc2 4a2
STEP
7
:
Dividing exponential expressions :
7.1 a3 divided by a2 = a(3 - 2) = a1 = a
Dividing exponential expressions :
7.2 b3 divided by b1 = b(3 - 1) = b2
Dividing exponential expressions :
7.3 c1 divided by c2 = c(1 - 2) = c(-1) = 1/c1 = 1/c
Final result :
51ab2
—————
20c
