Question
Solve the equation
b=2333
Alternative Form
b≈6.415069
Evaluate
2b2×b−528=0
Multiply
More Steps

Evaluate
2b2×b
Multiply the terms with the same base by adding their exponents
2b2+1
Add the numbers
2b3
2b3−528=0
Move the constant to the right-hand side and change its sign
2b3=0+528
Removing 0 doesn't change the value,so remove it from the expression
2b3=528
Divide both sides
22b3=2528
Divide the numbers
b3=2528
Divide the numbers
More Steps

Evaluate
2528
Reduce the numbers
1264
Calculate
264
b3=264
Take the 3-th root on both sides of the equation
3b3=3264
Calculate
b=3264
Solution
More Steps

Evaluate
3264
Write the expression as a product where the root of one of the factors can be evaluated
38×33
Write the number in exponential form with the base of 2
323×33
The root of a product is equal to the product of the roots of each factor
323×333
Reduce the index of the radical and exponent with 3
2333
b=2333
Alternative Form
b≈6.415069
Show Solution
