Question
Solve the equation
Solve for a
Solve for b
Solve for c
a=5∣bc∣4125pb3c3a=−5∣bc∣4125pb3c3
Evaluate
p=5a4bc
Rewrite the expression
p=5bca4
Swap the sides of the equation
5bca4=p
Divide both sides
5bc5bca4=5bcp
Divide the numbers
a4=5bcp
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±45bcp
Simplify the expression
More Steps

Evaluate
45bcp
Rewrite the expression
45bc×53b3c3p×53b3c3
Calculate
More Steps

Evaluate
p×53
Evaluate the power
p×125
Multiply the numbers
125p
45bc×53b3c3125pb3c3
Calculate
454b4c4125pb3c3
To take a root of a fraction,take the root of the numerator and denominator separately
4625b4c44125pb3c3
Simplify the radical expression
More Steps

Evaluate
4625b4c4
Rewrite the expression
4625×4b4×4c4
Simplify the root
5∣bc∣
5∣bc∣4125pb3c3
a=±5∣bc∣4125pb3c3
Solution
a=5∣bc∣4125pb3c3a=−5∣bc∣4125pb3c3
Show Solution
