Question
Simplify the expression
40z5−1
Evaluate
z5×40−1
Solution
40z5−1
Show Solution

Find the roots
z=405404
Alternative Form
z≈0.478176
Evaluate
z5×40−1
To find the roots of the expression,set the expression equal to 0
z5×40−1=0
Use the commutative property to reorder the terms
40z5−1=0
Move the constant to the right-hand side and change its sign
40z5=0+1
Removing 0 doesn't change the value,so remove it from the expression
40z5=1
Divide both sides
4040z5=401
Divide the numbers
z5=401
Take the 5-th root on both sides of the equation
5z5=5401
Calculate
z=5401
Solution
More Steps

Evaluate
5401
To take a root of a fraction,take the root of the numerator and denominator separately
54051
Simplify the radical expression
5401
Multiply by the Conjugate
540×54045404
Multiply the numbers
More Steps

Evaluate
540×5404
The product of roots with the same index is equal to the root of the product
540×404
Calculate the product
5405
Reduce the index of the radical and exponent with 5
40
405404
z=405404
Alternative Form
z≈0.478176
Show Solution
