Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
y=−55250
Alternative Form
y≈−0.603418
Evaluate
y5=−51×52
Multiply the numbers
More Steps
Evaluate
51×52
To multiply the fractions,multiply the numerators and denominators separately
5×52
Multiply the numbers
252
y5=−252
Take the 5-th root on both sides of the equation
5y5=5−252
Calculate
y=5−252
Solution
More Steps
Evaluate
5−252
An odd root of a negative radicand is always a negative
−5252
To take a root of a fraction,take the root of the numerator and denominator separately
−52552
Multiply by the Conjugate
525×5254−52×5254
Simplify
525×5254−52×55125
Multiply the numbers
More Steps
Evaluate
−52×55125
Multiply the terms
−5250×5
Use the commutative property to reorder the terms
−55250
525×5254−55250
Multiply the numbers
More Steps
Evaluate
525×5254
The product of roots with the same index is equal to the root of the product
525×254
Calculate the product
5255
Transform the expression
5510
Reduce the index of the radical and exponent with 5
52
52−55250
Reduce the fraction
More Steps
Evaluate
52−5
Use the product rule aman=an−m to simplify the expression
52−1−1
Subtract the terms
51−1
Simplify
5−1
5−5250
Calculate
−55250
y=−55250
Alternative Form
y≈−0.603418
Show Solution
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