Question
Solve the equation
x=2510
Alternative Form
x≈0.792447
Evaluate
3x2×24x3×6=135
Multiply
More Steps

Evaluate
3x2×24x3×6
Multiply the terms
More Steps

Evaluate
3×24×6
Multiply the terms
72×6
Multiply the numbers
432
432x2×x3
Multiply the terms with the same base by adding their exponents
432x2+3
Add the numbers
432x5
432x5=135
Divide both sides
432432x5=432135
Divide the numbers
x5=432135
Cancel out the common factor 27
x5=165
Take the 5-th root on both sides of the equation
5x5=5165
Calculate
x=5165
Solution
More Steps

Evaluate
5165
To take a root of a fraction,take the root of the numerator and denominator separately
51655
Multiply by the Conjugate
516×516455×5164
Simplify
516×516455×2352
Multiply the numbers
More Steps

Evaluate
55×2352
Multiply the terms
510×23
Use the commutative property to reorder the terms
23510
516×516423510
Multiply the numbers
More Steps

Evaluate
516×5164
The product of roots with the same index is equal to the root of the product
516×164
Calculate the product
5165
Transform the expression
5220
Reduce the index of the radical and exponent with 5
24
2423510
Reduce the fraction
More Steps

Evaluate
2423
Use the product rule aman=an−m to simplify the expression
24−31
Subtract the terms
211
Simplify
21
2510
x=2510
Alternative Form
x≈0.792447
Show Solution
