Question
Solve the equation
Solve for c
Solve for h
Solve for o
c=0c=10∣o∣h10ohc=−10∣o∣h10oh
Evaluate
c2h6o=c4h×10oh2o
Multiply
More Steps

Evaluate
c4h×10oh2o
Multiply the terms with the same base by adding their exponents
c4h1+2×10o×o
Add the numbers
c4h3×10o×o
Multiply the terms
c4h3×10o2
Use the commutative property to reorder the terms
10c4h3o2
c2h6o=10c4h3o2
Rewrite the expression
h6oc2=10h3o2c4
Add or subtract both sides
h6oc2−10h3o2c4=0
Factor the expression
h3oc2(h3−10oc2)=0
Divide both sides
c2(h3−10oc2)=0
Separate the equation into 2 possible cases
c2=0h3−10oc2=0
The only way a power can be 0 is when the base equals 0
c=0h3−10oc2=0
Solve the equation
More Steps

Evaluate
h3−10oc2=0
Move the expression to the right-hand side and change its sign
−10oc2=0−h3
Removing 0 doesn't change the value,so remove it from the expression
−10oc2=−h3
Divide both sides
−10o−10oc2=−10o−h3
Divide the numbers
c2=−10o−h3
Divide the numbers
c2=10oh3
Take the root of both sides of the equation and remember to use both positive and negative roots
c=±10oh3
Simplify the expression
More Steps

Evaluate
10oh3
Rewrite the expression
10o×10oh3×10o
Use the commutative property to reorder the terms
10o×10o10h3o
Calculate
100o210h3o
To take a root of a fraction,take the root of the numerator and denominator separately
100o210h3o
Simplify the radical expression
10∣o∣10h3o
c=±10∣o∣10h3o
Separate the equation into 2 possible cases
c=10∣o∣10h3oc=−10∣o∣10h3o
c=0c=10∣o∣10h3oc=−10∣o∣10h3o
Simplify
c=0c=10∣o∣h10ohc=−10∣o∣10h3o
Solution
c=0c=10∣o∣h10ohc=−10∣o∣h10oh
Show Solution
