Question
Solve the equation
x=−73515×734
Alternative Form
x≈−0.728708
Evaluate
73x5=−15
Divide both sides
7373x5=73−15
Divide the numbers
x5=73−15
Use b−a=−ba=−ba to rewrite the fraction
x5=−7315
Take the 5-th root on both sides of the equation
5x5=5−7315
Calculate
x=5−7315
Solution
More Steps

Evaluate
5−7315
An odd root of a negative radicand is always a negative
−57315
To take a root of a fraction,take the root of the numerator and denominator separately
−573515
Multiply by the Conjugate
573×5734−515×5734
The product of roots with the same index is equal to the root of the product
573×5734−515×734
Multiply the numbers
More Steps

Evaluate
573×5734
The product of roots with the same index is equal to the root of the product
573×734
Calculate the product
5735
Reduce the index of the radical and exponent with 5
73
73−515×734
Calculate
−73515×734
x=−73515×734
Alternative Form
x≈−0.728708
Show Solution
