Question
Solve the equation
x=6310
Alternative Form
x≈0.359072
Evaluate
6x2×18x=5
Multiply
More Steps

Evaluate
6x2×18x
Multiply the terms
108x2×x
Multiply the terms with the same base by adding their exponents
108x2+1
Add the numbers
108x3
108x3=5
Divide both sides
108108x3=1085
Divide the numbers
x3=1085
Take the 3-th root on both sides of the equation
3x3=31085
Calculate
x=31085
Solution
More Steps

Evaluate
31085
To take a root of a fraction,take the root of the numerator and denominator separately
310835
Simplify the radical expression
More Steps

Evaluate
3108
Write the expression as a product where the root of one of the factors can be evaluated
327×4
Write the number in exponential form with the base of 3
333×4
The root of a product is equal to the product of the roots of each factor
333×34
Reduce the index of the radical and exponent with 3
334
33435
Multiply by the Conjugate
334×34235×342
Simplify
334×34235×232
Multiply the numbers
More Steps

Evaluate
35×232
Multiply the terms
310×2
Use the commutative property to reorder the terms
2310
334×3422310
Multiply the numbers
More Steps

Evaluate
334×342
Multiply the terms
3×22
Multiply the terms
12
122310
Cancel out the common factor 2
6310
x=6310
Alternative Form
x≈0.359072
Show Solution
