Question
Solve the equation
Solve for x
Solve for z
x=35270z
Evaluate
z1×4x5=185
Multiply the terms
More Steps

Multiply the terms
z1×4x5
Multiply the terms
z×4x5
Use the commutative property to reorder the terms
4zx5
4zx5=185
Multiply both sides of the equation by 4z
4zx5×4z=185×4z
Multiply the terms
x5=185×4z
Divide the terms
x5=910z
Take the 5-th root on both sides of the equation
5x5=5910z
Calculate
x=5910z
Solution
More Steps

Evaluate
5910z
To take a root of a fraction,take the root of the numerator and denominator separately
59510z
Multiply by the Conjugate
59×594510z×594
Calculate
32510z×594
Calculate
More Steps

Evaluate
510z×594
The product of roots with the same index is equal to the root of the product
510z×94
Calculate the product
565610z
Write the expression as a product where the root of one of the factors can be evaluated
5243×270z
Write the number in exponential form with the base of 3
535×270z
The root of a product is equal to the product of the roots of each factor
535×5270z
Reduce the index of the radical and exponent with 5
35270z
3235270z
Reduce the fraction
More Steps

Evaluate
323
Use the product rule aman=an−m to simplify the expression
32−11
Subtract the terms
311
Simplify
31
35270z
x=35270z
Show Solution
