Question
Solve the equation
x=3320
Alternative Form
x≈8.143253
Evaluate
3x2x=180
Multiply the terms
More Steps

Multiply the terms
3x2x
Multiply the terms
3x2×x
Multiply the terms
More Steps

Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
3x3
3x3=180
Cross multiply
x3=3×180
Simplify the equation
x3=540
Take the 3-th root on both sides of the equation
3x3=3540
Calculate
x=3540
Solution
More Steps

Evaluate
3540
Write the expression as a product where the root of one of the factors can be evaluated
327×20
Write the number in exponential form with the base of 3
333×20
The root of a product is equal to the product of the roots of each factor
333×320
Reduce the index of the radical and exponent with 3
3320
x=3320
Alternative Form
x≈8.143253
Show Solution
