Question
Solve the equation
v=−63180
Alternative Form
v≈−0.941036
Evaluate
v2×6v=−5
Multiply
More Steps

Evaluate
v2×6v
Multiply the terms with the same base by adding their exponents
v2+1×6
Add the numbers
v3×6
Use the commutative property to reorder the terms
6v3
6v3=−5
Divide both sides
66v3=6−5
Divide the numbers
v3=6−5
Use b−a=−ba=−ba to rewrite the fraction
v3=−65
Take the 3-th root on both sides of the equation
3v3=3−65
Calculate
v=3−65
Solution
More Steps

Evaluate
3−65
An odd root of a negative radicand is always a negative
−365
To take a root of a fraction,take the root of the numerator and denominator separately
−3635
Multiply by the Conjugate
36×362−35×362
Simplify
36×362−35×336
Multiply the numbers
More Steps

Evaluate
−35×336
The product of roots with the same index is equal to the root of the product
−35×36
Calculate the product
−3180
36×362−3180
Multiply the numbers
More Steps

Evaluate
36×362
The product of roots with the same index is equal to the root of the product
36×62
Calculate the product
363
Reduce the index of the radical and exponent with 3
6
6−3180
Calculate
−63180
v=−63180
Alternative Form
v≈−0.941036
Show Solution
