(1): "^-5" was replaced by "^(-5)". 3 more similar replacement(s)
STEP
1
:
Equation at the end of step 1
((25•(b-1))•(c-3))
(((12•(b4))•(c-6))•——————————————————)•((2•5b(-5))•c)
((15•(b3))•(c4))
STEP
2
:
Equation at the end of step
2
:
((25•(b-1))•(c-3))
(((12•(b4))•(c-6))•——————————————————)•(2•5b(-5)c)
((3•5b3)•c4)
STEP
3
:
Equation at the end of step
3
:
(52b(-1)•c(-3))
(((12•(b4))•(c-6))•———————————————)•(2•5b(-5)c)
(3•5b3c4)
STEP
4
:
52b(-1)c(-3)
Simplify ————————————
(3•5b3c4)
Dividing exponential expressions :
4.1 b(-1) divided by b3 = b((-1) - 3) = b(-4) = 1/b4
Dividing exponential expressions :
4.2 c(-3) divided by c4 = c((-3) - 4) = c(-7) = 1/c7
Dividing exponents:
4.3 52 divided by 51 = 5(2 - 1) = 51 = 5
Equation at the end of step
4
:
5
(((12•(b4))•(c-6))•—————)•(2•5b(-5)c)
3b4c7
STEP
5
:
Equation at the end of step
5
:
5
(((22•3b4) • c(-6)) • —————) • (2•5b(-5)c)
3b4c7
STEP
6
:
Canceling Out :
6.1 Canceling out b4 as it appears on both sides of the fraction line
Dividing exponential expressions :
6.2 c(-6) divided by c7 = c((-6) - 7) = c(-13) = 1/c13
Canceling Out:
6.3 Canceling out 3 as it appears on both sides of the fraction line
Equation at the end of step
6
:
20
——— • (2•5b(-5)c)
c13
STEP
7
:
Multiplying exponents:
7.1 22 multiplied by 21 = 2(2 + 1) = 23
Multiplying exponents:
7.2 51 multiplied by 51 = 5(1 + 1) = 52
Dividing exponential expressions :
7.3 c1 divided by c13 = c(1 - 13) = c(-12) = 1/c12
Final result :
200
—————
b5c12 Answer:
Step-by-step explanation:
