Question
3y5=−1
Solve the equation
y=−3581
Alternative Form
y≈−0.802742
Evaluate
3y5=−1
Divide both sides
33y5=3−1
Divide the numbers
y5=3−1
Use b−a=−ba=−ba to rewrite the fraction
y5=−31
Take the 5-th root on both sides of the equation
5y5=5−31
Calculate
y=5−31
Solution
More Steps

Evaluate
5−31
An odd root of a negative radicand is always a negative
−531
To take a root of a fraction,take the root of the numerator and denominator separately
−5351
Simplify the radical expression
−531
Multiply by the Conjugate
53×534−534
Simplify
53×534−581
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
3−581
Calculate
−3581
y=−3581
Alternative Form
y≈−0.802742
Show Solution
