Question
Solve the equation
x=1263196
Alternative Form
x≈0.046101
Evaluate
1=27x2×378x
Multiply
More Steps

Evaluate
27x2×378x
Multiply the terms
10206x2×x
Multiply the terms with the same base by adding their exponents
10206x2+1
Add the numbers
10206x3
1=10206x3
Swap the sides of the equation
10206x3=1
Divide both sides
1020610206x3=102061
Divide the numbers
x3=102061
Take the 3-th root on both sides of the equation
3x3=3102061
Calculate
x=3102061
Solution
More Steps

Evaluate
3102061
To take a root of a fraction,take the root of the numerator and denominator separately
31020631
Simplify the radical expression
3102061
Simplify the radical expression
More Steps

Evaluate
310206
Write the expression as a product where the root of one of the factors can be evaluated
3729×14
Write the number in exponential form with the base of 9
393×14
The root of a product is equal to the product of the roots of each factor
393×314
Reduce the index of the radical and exponent with 3
9314
93141
Multiply by the Conjugate
9314×31423142
Simplify
9314×31423196
Multiply the numbers
More Steps

Evaluate
9314×3142
Multiply the terms
9×14
Multiply the terms
126
1263196
x=1263196
Alternative Form
x≈0.046101
Show Solution
