Question
Solve the equation
Solve for a
Solve for b
a=−2∣b∣6160b5,b=0a=2∣b∣6160b5,b=0
Evaluate
4a6b=10
Rewrite the expression
4ba6=10
Divide both sides
4b4ba6=4b10
Divide the numbers
a6=4b10
Cancel out the common factor 2
a6=2b5
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±62b5
Simplify the expression
More Steps

Evaluate
62b5
To take a root of a fraction,take the root of the numerator and denominator separately
62b65
Multiply by the Conjugate
62b×625b565×625b5
Calculate
2∣b∣65×625b5
Calculate
More Steps

Evaluate
65×625b5
The product of roots with the same index is equal to the root of the product
65×25b5
Calculate the product
6160b5
2∣b∣6160b5
a=±2∣b∣6160b5
Separate the equation into 2 possible cases
a=2∣b∣6160b5a=−2∣b∣6160b5
Calculate
{a=−2∣b∣6160b5b=0{a=2∣b∣6160b5b=0
Solution
a=−2∣b∣6160b5,b=0a=2∣b∣6160b5,b=0
Show Solution
