Question
Simplify the expression
1500b3−90000
Evaluate
1500b3−160
Divide the terms
1500b3−60
Reduce fractions to a common denominator
1500b3−150060×1500
Write all numerators above the common denominator
1500b3−60×1500
Solution
1500b3−90000
Show Solution

Find the roots
b=10390
Alternative Form
b≈44.814047
Evaluate
1500b3−160
To find the roots of the expression,set the expression equal to 0
1500b3−160=0
Divide the terms
1500b3−60=0
Subtract the terms
More Steps

Simplify
1500b3−60
Reduce fractions to a common denominator
1500b3−150060×1500
Write all numerators above the common denominator
1500b3−60×1500
Multiply the numbers
1500b3−90000
1500b3−90000=0
Simplify
b3−90000=0
Move the constant to the right side
b3=90000
Take the 3-th root on both sides of the equation
3b3=390000
Calculate
b=390000
Solution
More Steps

Evaluate
390000
Write the expression as a product where the root of one of the factors can be evaluated
31000×90
Write the number in exponential form with the base of 10
3103×90
The root of a product is equal to the product of the roots of each factor
3103×390
Reduce the index of the radical and exponent with 3
10390
b=10390
Alternative Form
b≈44.814047
Show Solution
