Question
Solve the equation
x=−25432
Alternative Form
x≈−1.682933
Evaluate
2x5=−27
Divide both sides
22x5=2−27
Divide the numbers
x5=2−27
Use b−a=−ba=−ba to rewrite the fraction
x5=−227
Take the 5-th root on both sides of the equation
5x5=5−227
Calculate
x=5−227
Solution
More Steps

Evaluate
5−227
An odd root of a negative radicand is always a negative
−5227
To take a root of a fraction,take the root of the numerator and denominator separately
−52527
Multiply by the Conjugate
52×524−527×524
Simplify
52×524−527×516
Multiply the numbers
More Steps

Evaluate
−527×516
The product of roots with the same index is equal to the root of the product
−527×16
Calculate the product
−5432
52×524−5432
Multiply the numbers
More Steps

Evaluate
52×524
The product of roots with the same index is equal to the root of the product
52×24
Calculate the product
525
Reduce the index of the radical and exponent with 5
2
2−5432
Calculate
−25432
x=−25432
Alternative Form
x≈−1.682933
Show Solution
