Question
Solve the equation
x=25120
Alternative Form
x≈1.302586
Evaluate
−15=−4x5
Swap the sides of the equation
−4x5=−15
Change the signs on both sides of the equation
4x5=15
Divide both sides
44x5=415
Divide the numbers
x5=415
Take the 5-th root on both sides of the equation
5x5=5415
Calculate
x=5415
Solution
More Steps

Evaluate
5415
To take a root of a fraction,take the root of the numerator and denominator separately
54515
Multiply by the Conjugate
54×544515×544
Simplify
54×544515×258
Multiply the numbers
More Steps

Evaluate
515×258
Multiply the terms
5120×2
Use the commutative property to reorder the terms
25120
54×54425120
Multiply the numbers
More Steps

Evaluate
54×544
The product of roots with the same index is equal to the root of the product
54×44
Calculate the product
545
Transform the expression
5210
Reduce the index of the radical and exponent with 5
22
2225120
Reduce the fraction
More Steps

Evaluate
222
Use the product rule aman=an−m to simplify the expression
22−11
Subtract the terms
211
Simplify
21
25120
x=25120
Alternative Form
x≈1.302586
Show Solution
