Question
Solve the equation
Solve for y
y=−2556
Alternative Form
y≈−1.118427
Evaluate
2×4y5=−14
Multiply the numbers
8y5=−14
Divide both sides
88y5=8−14
Divide the numbers
y5=8−14
Divide the numbers
More Steps
Evaluate
8−14
Cancel out the common factor 2
4−7
Use b−a=−ba=−ba to rewrite the fraction
−47
y5=−47
Take the 5-th root on both sides of the equation
5y5=5−47
Calculate
y=5−47
Solution
More Steps
Evaluate
5−47
An odd root of a negative radicand is always a negative
−547
To take a root of a fraction,take the root of the numerator and denominator separately
−5457
Rewrite the expression
54−57
Multiply by the Conjugate
54×544−57×544
Simplify
54×544−57×258
Multiply the numbers
More Steps
Evaluate
−57×258
Multiply the terms
−556×2
Use the commutative property to reorder the terms
−2556
54×544−2556
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
22−2556
Reduce the fraction
More Steps
Evaluate
22−2
Use the product rule aman=an−m to simplify the expression
22−1−1
Subtract the terms
21−1
Simplify
2−1
2−556
Calculate
−2556
y=−2556
Alternative Form
y≈−1.118427
Show Solution