Question
Solve the equation
x=−2548
Alternative Form
x≈−1.084472
Evaluate
2x5=−3
Divide both sides
22x5=2−3
Divide the numbers
x5=2−3
Use b−a=−ba=−ba to rewrite the fraction
x5=−23
Take the 5-th root on both sides of the equation
5x5=5−23
Calculate
x=5−23
Solution
More Steps

Evaluate
5−23
An odd root of a negative radicand is always a negative
−523
To take a root of a fraction,take the root of the numerator and denominator separately
−5253
Multiply by the Conjugate
52×524−53×524
Simplify
52×524−53×516
Multiply the numbers
More Steps

Evaluate
−53×516
The product of roots with the same index is equal to the root of the product
−53×16
Calculate the product
−548
52×524−548
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
2−548
Calculate
−2548
x=−2548
Alternative Form
x≈−1.084472
Show Solution
