Question
Solve the equation
x=232
Alternative Form
x≈2.519842
Evaluate
5x2×x=80
Multiply
More Steps

Evaluate
5x2×x
Multiply the terms with the same base by adding their exponents
5x2+1
Add the numbers
5x3
5x3=80
Divide both sides
55x3=580
Divide the numbers
x3=580
Divide the numbers
More Steps

Evaluate
580
Reduce the numbers
116
Calculate
16
x3=16
Take the 3-th root on both sides of the equation
3x3=316
Calculate
x=316
Solution
More Steps

Evaluate
316
Write the expression as a product where the root of one of the factors can be evaluated
38×2
Write the number in exponential form with the base of 2
323×2
The root of a product is equal to the product of the roots of each factor
323×32
Reduce the index of the radical and exponent with 3
232
x=232
Alternative Form
x≈2.519842
Show Solution
