Question
Simplify the expression
80w5−1
Evaluate
w5×80−1
Solution
80w5−1
Show Solution

Find the roots
w=805804
Alternative Form
w≈0.416277
Evaluate
w5×80−1
To find the roots of the expression,set the expression equal to 0
w5×80−1=0
Use the commutative property to reorder the terms
80w5−1=0
Move the constant to the right-hand side and change its sign
80w5=0+1
Removing 0 doesn't change the value,so remove it from the expression
80w5=1
Divide both sides
8080w5=801
Divide the numbers
w5=801
Take the 5-th root on both sides of the equation
5w5=5801
Calculate
w=5801
Solution
More Steps

Evaluate
5801
To take a root of a fraction,take the root of the numerator and denominator separately
58051
Simplify the radical expression
5801
Multiply by the Conjugate
580×58045804
Multiply the numbers
More Steps

Evaluate
580×5804
The product of roots with the same index is equal to the root of the product
580×804
Calculate the product
5805
Reduce the index of the radical and exponent with 5
80
805804
w=805804
Alternative Form
w≈0.416277
Show Solution
