Question
Solve the equation
z=351134
Alternative Form
z≈1.360822
Evaluate
3×3z5=42
Multiply the numbers
9z5=42
Divide both sides
99z5=942
Divide the numbers
z5=942
Cancel out the common factor 3
z5=314
Take the 5-th root on both sides of the equation
5z5=5314
Calculate
z=5314
Solution
More Steps

Evaluate
5314
To take a root of a fraction,take the root of the numerator and denominator separately
53514
Multiply by the Conjugate
53×534514×534
Simplify
53×534514×581
Multiply the numbers
More Steps

Evaluate
514×581
The product of roots with the same index is equal to the root of the product
514×81
Calculate the product
51134
53×53451134
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
351134
z=351134
Alternative Form
z≈1.360822
Show Solution
