Question
Solve the equation
x=35648
Alternative Form
x≈1.216729
Evaluate
x4×3x=8
Multiply
More Steps

Evaluate
x4×3x
Multiply the terms with the same base by adding their exponents
x4+1×3
Add the numbers
x5×3
Use the commutative property to reorder the terms
3x5
3x5=8
Divide both sides
33x5=38
Divide the numbers
x5=38
Take the 5-th root on both sides of the equation
5x5=538
Calculate
x=538
Solution
More Steps

Evaluate
538
To take a root of a fraction,take the root of the numerator and denominator separately
5358
Multiply by the Conjugate
53×53458×534
Simplify
53×53458×581
Multiply the numbers
More Steps

Evaluate
58×581
The product of roots with the same index is equal to the root of the product
58×81
Calculate the product
5648
53×5345648
Multiply the numbers
More Steps

Evaluate
53×534
The product of roots with the same index is equal to the root of the product
53×34
Calculate the product
535
Reduce the index of the radical and exponent with 5
3
35648
x=35648
Alternative Form
x≈1.216729
Show Solution
