Question
Solve the equation
w=2333
Alternative Form
w≈6.415069
Evaluate
2w2×w−528=0
Multiply
More Steps

Evaluate
2w2×w
Multiply the terms with the same base by adding their exponents
2w2+1
Add the numbers
2w3
2w3−528=0
Move the constant to the right-hand side and change its sign
2w3=0+528
Removing 0 doesn't change the value,so remove it from the expression
2w3=528
Divide both sides
22w3=2528
Divide the numbers
w3=2528
Divide the numbers
More Steps

Evaluate
2528
Reduce the numbers
1264
Calculate
264
w3=264
Take the 3-th root on both sides of the equation
3w3=3264
Calculate
w=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
w=2333
Alternative Form
w≈6.415069
Show Solution
